49913660160 has 1152 divisors, whose sum is σ = 222518016000. Its totient is φ = 10314252288.

The previous prime is 49913660129. The next prime is 49913660161. The reversal of 49913660160 is 6106631994.

49913660160 is a `hidden beast` number, since 4 + 9 + 9 + 1 + 36 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (49913660161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185552506 + ... + 185552774.

It is an arithmetic number, because the mean of its divisors is an integer number (193158000).

Almost surely, 2^49913660160 is an apocalyptic number.

49913660160 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 49913660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111259008000).

49913660160 is an abundant number, since it is smaller than the sum of its proper divisors (172604355840).

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

49913660160 is a wasteful number, since it uses less digits than its factorization.

49913660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 49913660160 in words is "forty-nine billion, nine hundred thirteen million, six hundred sixty thousand, one hundred sixty".