48700802618400 has 288 divisors, whose sum is σ = 175143534346368. Its totient is φ = 11691513856000.

The previous prime is 48700802618359. The next prime is 48700802618411. The reversal of 48700802618400 is 481620800784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48700802618400.

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, 25010451 + ... + 26887250.

It is an arithmetic number, because the mean of its divisors is an integer number (608137272036).

Almost surely, 2^{48700802618400} is an apocalyptic number.

48700802618400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48700802618400 is an abundant number, since it is smaller than the sum of its proper divisors (126442731727968).

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

48700802618400 is a wasteful number, since it uses less digits than its factorization.

48700802618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51897764 (or 51897751 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 48700802618400 in words is "forty-eight trillion, seven hundred billion, eight hundred two million, six hundred eighteen thousand, four hundred".