49387579570800 has 720 divisors, whose sum is σ = 186898628124000. Its totient is φ = 12029292011520.

The previous prime is 49387579570699. The next prime is 49387579570807. The reversal of 49387579570800 is 807597578394.

49387579570800 is a `hidden beast` number, since 49 + 3 + 8 + 7 + 5 + 7 + 9 + 570 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (49387579570807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1406354842 + ... + 1406389958.

It is an arithmetic number, because the mean of its divisors is an integer number (259581427950).

Almost surely, 2^{49387579570800} is an apocalyptic number.

49387579570800 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 49387579570800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93449314062000).

49387579570800 is an abundant number, since it is smaller than the sum of its proper divisors (137511048553200).

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

49387579570800 is a wasteful number, since it uses less digits than its factorization.

49387579570800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35898 (or 35884 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 49387579570800 in words is "forty-nine trillion, three hundred eighty-seven billion, five hundred seventy-nine million, five hundred seventy thousand, eight hundred".