59982974400 has 168 divisors, whose sum is σ = 197222912640. Its totient is φ = 15960611840.

The previous prime is 59982974377. The next prime is 59982974423. The reversal of 59982974400 is 447928995.

It is an interprime number because it is at equal distance from previous prime (59982974377) and next prime (59982974423).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2228221 + ... + 2254979.

Almost surely, 2^59982974400 is an apocalyptic number.

59982974400 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 59982974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98611456320).

59982974400 is an abundant number, since it is smaller than the sum of its proper divisors (137239938240).

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

59982974400 is a wasteful number, since it uses less digits than its factorization.

59982974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27251 (or 27236 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 59982974400 in words is "fifty-nine billion, nine hundred eighty-two million, nine hundred seventy-four thousand, four hundred".