59106939416512 has 168 divisors, whose sum is σ = 128525183877744. Its totient is φ = 26955902877696.

The previous prime is 59106939416467. The next prime is 59106939416557. The reversal of 59106939416512 is 21561493960195.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (59106939416467) and next prime (59106939416557).

It is a super-2 number, since 2×59106939416512² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304903488 + ... + 305097280.

Almost surely, 2^{59106939416512} is an apocalyptic number.

59106939416512 is a gapful number since it is divisible by the number (52) 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 59106939416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64262591938872).

59106939416512 is an abundant number, since it is smaller than the sum of its proper divisors (69418244461232).

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

59106939416512 is a wasteful number, since it uses less digits than its factorization.

59106939416512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194167 (or 194144 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 61.

The spelling of 59106939416512 in words is "fifty-nine trillion, one hundred six billion, nine hundred thirty-nine million, four hundred sixteen thousand, five hundred twelve".