48989076998400 has 7776 divisors, whose sum is σ = 253638326108160. Its totient is φ = 9134125056000.

The previous prime is 48989076998399. The next prime is 48989076998413. The reversal of 48989076998400 is 489967098984.

48989076998400 is a `hidden beast` number, since 48 + 9 + 89 + 0 + 7 + 6 + 9 + 98 + 400 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48989076998400.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1042320787177 + ... + 1042320787223.

Almost surely, 2^{48989076998400} is an apocalyptic number.

48989076998400 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 48989076998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126819163054080).

48989076998400 is an abundant number, since it is smaller than the sum of its proper divisors (204649249109760).

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

48989076998400 is a wasteful number, since it uses less digits than its factorization.

48989076998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 81.

The spelling of 48989076998400 in words is "forty-eight trillion, nine hundred eighty-nine billion, seventy-six million, nine hundred ninety-eight thousand, four hundred".