59998808244400 has 240 divisors, whose sum is σ = 149066426919808. Its totient is φ = 23196616704000.

The previous prime is 59998808244383. The next prime is 59998808244449. The reversal of 59998808244400 is 444280889995.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 59998808244400.

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, 482643052 + ... + 482767348.

Almost surely, 2^{59998808244400} is an apocalyptic number.

59998808244400 is a gapful number since it is divisible by the number (50) 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 59998808244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74533213459904).

59998808244400 is an abundant number, since it is smaller than the sum of its proper divisors (89067618675408).

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

59998808244400 is a wasteful number, since it uses less digits than its factorization.

59998808244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124720 (or 124709 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 70.

The spelling of 59998808244400 in words is "fifty-nine trillion, nine hundred ninety-eight billion, eight hundred eight million, two hundred forty-four thousand, four hundred".