48700528800 has 576 divisors, whose sum is σ = 204034940928. Its totient is φ = 9792000000.

The previous prime is 48700528781. The next prime is 48700528819. The reversal of 48700528800 is 882500784.

It is an interprime number because it is at equal distance from previous prime (48700528781) and next prime (48700528819).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5724550 + ... + 5733050.

It is an arithmetic number, because the mean of its divisors is an integer number (354227328).

Almost surely, 2^48700528800 is an apocalyptic number.

48700528800 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 48700528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102017470464).

48700528800 is an abundant number, since it is smaller than the sum of its proper divisors (155334412128).

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

48700528800 is a wasteful number, since it uses less digits than its factorization.

48700528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8573 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 48700528800 in words is "forty-eight billion, seven hundred million, five hundred twenty-eight thousand, eight hundred".