49506760800 has 432 divisors, whose sum is σ = 211251916512. Its totient is φ = 10650009600.

The previous prime is 49506760747. The next prime is 49506760837. The reversal of 49506760800 is 806760594.

49506760800 is a `hidden beast` number, since 4 + 9 + 506 + 7 + 60 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 827910 + ... + 885690.

It is an arithmetic number, because the mean of its divisors is an integer number (489009066).

Almost surely, 2^49506760800 is an apocalyptic number.

49506760800 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 49506760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105625958256).

49506760800 is an abundant number, since it is smaller than the sum of its proper divisors (161745155712).

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

49506760800 is a wasteful number, since it uses less digits than its factorization.

49506760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57831 (or 57815 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 49506760800 in words is "forty-nine billion, five hundred six million, seven hundred sixty thousand, eight hundred".