48952512000 has 1600 divisors, whose sum is σ = 222452904960. Its totient is φ = 10450944000.

The previous prime is 48952511999. The next prime is 48952512067. The reversal of 48952512000 is 21525984.

48952512000 is a `hidden beast` number, since 4 + 8 + 9 + 525 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×48952512000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 689471965 + ... + 689472035.

Almost surely, 2^48952512000 is an apocalyptic number.

48952512000 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 48952512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111226452480).

48952512000 is an abundant number, since it is smaller than the sum of its proper divisors (173500392960).

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

48952512000 is an equidigital number, since it uses as much as digits as its factorization.

48952512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 48952512000 in words is "forty-eight billion, nine hundred fifty-two million, five hundred twelve thousand".