58961431517000 has 128 divisors (see below), whose sum is σ = 146141464416480. Its totient is φ = 22188759040000.

The previous prime is 58961431516919. The next prime is 58961431517011. The reversal of 58961431517000 is 71513416985.

It can be written as a sum of positive squares in 16 ways, for example, as 1542409995844 + 57419021521156 = 1241938^2 + 7577534^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 58961431517000.

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, 43895360 + ... + 45218640.

Almost surely, 2^{58961431517000} is an apocalyptic number.

58961431517000 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 58961431517000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73070732208240).

58961431517000 is an abundant number, since it is smaller than the sum of its proper divisors (87180032899480).

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

58961431517000 is a wasteful number, since it uses less digits than its factorization.

58961431517000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325940 (or 1325926 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 50.

The spelling of 58961431517000 in words is "fifty-eight trillion, nine hundred sixty-one billion, four hundred thirty-one million, five hundred seventeen thousand".