49457963520 has 960 divisors, whose sum is σ = 208358092800. Its totient is φ = 10598252544.

The previous prime is 49457963491. The next prime is 49457963537. The reversal of 49457963520 is 2536975494.

49457963520 is a `hidden beast` number, since 4 + 9 + 4 + 57 + 9 + 63 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248532381 + ... + 248532579.

It is an arithmetic number, because the mean of its divisors is an integer number (217039680).

Almost surely, 2^49457963520 is an apocalyptic number.

49457963520 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 49457963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104179046400).

49457963520 is an abundant number, since it is smaller than the sum of its proper divisors (158900129280).

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

49457963520 is a wasteful number, since it uses less digits than its factorization.

49457963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 49457963520 in words is "forty-nine billion, four hundred fifty-seven million, nine hundred sixty-three thousand, five hundred twenty".