49995184960 has 168 divisors, whose sum is σ = 139307596416. Its totient is φ = 16741186560.

The previous prime is 49995184957. The next prime is 49995185011. The reversal of 49995184960 is 6948159994.

It is a super-2 number, since 2×49995184960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 49995184892 and 49995184901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4135725 + ... + 4147795.

Almost surely, 2^49995184960 is an apocalyptic number.

49995184960 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 49995184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69653798208).

49995184960 is an abundant number, since it is smaller than the sum of its proper divisors (89312411456).

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

49995184960 is a wasteful number, since it uses less digits than its factorization.

49995184960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12181 (or 12128 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 64.

It can be divided in two parts, 49995 and 184960, that added together give a triangular number (234955 = T₆₈₅).

The spelling of 49995184960 in words is "forty-nine billion, nine hundred ninety-five million, one hundred eighty-four thousand, nine hundred sixty".