59871672000 has 672 divisors, whose sum is σ = 246363646464. Its totient is φ = 13595904000.

The previous prime is 59871671999. The next prime is 59871672013. The reversal of 59871672000 is 27617895.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106343719 + ... + 106344281.

Almost surely, 2^59871672000 is an apocalyptic number.

59871672000 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 59871672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123181823232).

59871672000 is an abundant number, since it is smaller than the sum of its proper divisors (186491974464).

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

59871672000 is a wasteful number, since it uses less digits than its factorization.

59871672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 59871672000 in words is "fifty-nine billion, eight hundred seventy-one million, six hundred seventy-two thousand".