49932164880 has 960 divisors, whose sum is σ = 197457361920. Its totient is φ = 11645337600.

The previous prime is 49932164879. The next prime is 49932164903. The reversal of 49932164880 is 8846123994.

49932164880 is a `hidden beast` number, since 499 + 32 + 1 + 6 + 48 + 80 = 666.

It is a super-3 number, since 3×49932164880³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 632052681 + ... + 632052759.

It is an arithmetic number, because the mean of its divisors is an integer number (205684752).

Almost surely, 2^49932164880 is an apocalyptic number.

49932164880 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 49932164880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98728680960).

49932164880 is an abundant number, since it is smaller than the sum of its proper divisors (147525197040).

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

49932164880 is a wasteful number, since it uses less digits than its factorization.

49932164880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 49932164880 in words is "forty-nine billion, nine hundred thirty-two million, one hundred sixty-four thousand, eight hundred eighty".