49718056521600 has 192 divisors, whose sum is σ = 181954276614000. Its totient is φ = 13258148382720.

The previous prime is 49718056521527. The next prime is 49718056521631. The reversal of 49718056521600 is 612565081794.

It is a happy number.

49718056521600 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 8 + 0 + 5 + 6 + 5 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287633835 + ... + 287806634.

Almost surely, 2^{49718056521600} is an apocalyptic number.

49718056521600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49718056521600 is an abundant number, since it is smaller than the sum of its proper divisors (132236220092400).

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

49718056521600 is a wasteful number, since it uses less digits than its factorization.

49718056521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575440502 (or 575440479 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 49718056521600 in words is "forty-nine trillion, seven hundred eighteen billion, fifty-six million, five hundred twenty-one thousand, six hundred".