59978496000 has 384 divisors, whose sum is σ = 206517729600. Its totient is φ = 15437004800.

The previous prime is 59978495977. The next prime is 59978496023. The reversal of 59978496000 is 69487995.

It is an interprime number because it is at equal distance from previous prime (59978495977) and next prime (59978496023).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22270654 + ... + 22273346.

Almost surely, 2^59978496000 is an apocalyptic number.

59978496000 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 59978496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103258864800).

59978496000 is an abundant number, since it is smaller than the sum of its proper divisors (146539233600).

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

59978496000 is a wasteful number, since it uses less digits than its factorization.

59978496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 59978496000 in words is "fifty-nine billion, nine hundred seventy-eight million, four hundred ninety-six thousand".