49133985600 has 504 divisors, whose sum is σ = 188395843680. Its totient is φ = 11178209280.

The previous prime is 49133985557. The next prime is 49133985671. The reversal of 49133985600 is 658933194.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49133985600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74558071 + ... + 74558729.

Almost surely, 2^49133985600 is an apocalyptic number.

49133985600 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 49133985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94197921840).

49133985600 is an abundant number, since it is smaller than the sum of its proper divisors (139261858080).

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

49133985600 is a wasteful number, since it uses less digits than its factorization.

49133985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 49133985600 in words is "forty-nine billion, one hundred thirty-three million, nine hundred eighty-five thousand, six hundred".