49880525760 has 840 divisors, whose sum is σ = 196401324240. Its totient is φ = 12007636992.

The previous prime is 49880525759. The next prime is 49880525797. The reversal of 49880525760 is 6752508894.

49880525760 is a `hidden beast` number, since 49 + 8 + 8 + 0 + 525 + 76 + 0 = 666.

49880525760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49880525697 and 49880525706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 258448224 + ... + 258448416.

Almost surely, 2^49880525760 is an apocalyptic number.

49880525760 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 49880525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98200662120).

49880525760 is an abundant number, since it is smaller than the sum of its proper divisors (146520798480).

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

49880525760 is a wasteful number, since it uses less digits than its factorization.

49880525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 49880525760 in words is "forty-nine billion, eight hundred eighty million, five hundred twenty-five thousand, seven hundred sixty".