49685549176800 has 432 divisors, whose sum is σ = 181338539840640. Its totient is φ = 12786011320320.

The previous prime is 49685549176793. The next prime is 49685549176807. The reversal of 49685549176800 is 867194558694.

49685549176800 is a `hidden beast` number, since 4 + 9 + 6 + 8 + 5 + 549 + 1 + 76 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49685549176793) and next prime (49685549176807).

It is a super-2 number, since 2×49685549176800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49685549176807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 411902097 + ... + 412022703.

It is an arithmetic number, because the mean of its divisors is an integer number (419765138520).

Almost surely, 2^{49685549176800} is an apocalyptic number.

49685549176800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49685549176800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90669269920320).

49685549176800 is an abundant number, since it is smaller than the sum of its proper divisors (131652990663840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49685549176800 is a wasteful number, since it uses less digits than its factorization.

49685549176800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122635 (or 122619 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 49685549176800 in words is "forty-nine trillion, six hundred eighty-five billion, five hundred forty-nine million, one hundred seventy-six thousand, eight hundred".