59879990016000 has 3456 divisors, whose sum is σ = 280031540705280. Its totient is φ = 12415721472000.

The previous prime is 59879990015947. The next prime is 59879990016019. The reversal of 59879990016000 is 61009997895.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×59879990016000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 129330431769 + ... + 129330432231.

It is an arithmetic number, because the mean of its divisors is an integer number (81027644880).

Almost surely, 2^{59879990016000} is an apocalyptic number.

59879990016000 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 59879990016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140015770352640).

59879990016000 is an abundant number, since it is smaller than the sum of its proper divisors (220151550689280).

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

59879990016000 is an frugal number, since it uses more digits than its factorization.

59879990016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 59879990016000 in words is "fifty-nine trillion, eight hundred seventy-nine billion, nine hundred ninety million, sixteen thousand".