48996524160 has 640 divisors, whose sum is σ = 188943678000. Its totient is φ = 12053643264.

The previous prime is 48996524123. The next prime is 48996524183. The reversal of 48996524160 is 6142569984.

48996524160 is a `hidden beast` number, since 489 + 9 + 65 + 2 + 41 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43028034624 + 5968489536 = 207432^2 + 77256^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×48996524160² (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 = 48996524097 and 48996524106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46707316 + ... + 46708364.

Almost surely, 2^48996524160 is an apocalyptic number.

48996524160 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 48996524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94471839000).

48996524160 is an abundant number, since it is smaller than the sum of its proper divisors (139947153840).

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

48996524160 is a wasteful number, since it uses less digits than its factorization.

48996524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 48996524160 in words is "forty-eight billion, nine hundred ninety-six million, five hundred twenty-four thousand, one hundred sixty".