49860956160 has 624 divisors, whose sum is σ = 184186626624. Its totient is φ = 12931301376.

The previous prime is 49860956153. The next prime is 49860956177. The reversal of 49860956160 is 6165906894.

It is a happy number.

49860956160 is a `hidden beast` number, since 498 + 6 + 0 + 95 + 6 + 1 + 60 = 666.

It is a super-2 number, since 2×49860956160² (a number of 22 digits) contains 22 as substring.

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 = 49860956097 and 49860956106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213995404 + ... + 213995636.

It is an arithmetic number, because the mean of its divisors is an integer number (295170876).

Almost surely, 2^49860956160 is an apocalyptic number.

49860956160 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 49860956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92093313312).

49860956160 is an abundant number, since it is smaller than the sum of its proper divisors (134325670464).

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

49860956160 is an equidigital number, since it uses as much as digits as its factorization.

49860956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 49860956160 in words is "forty-nine billion, eight hundred sixty million, nine hundred fifty-six thousand, one hundred sixty".