58900671351072 has 480 divisors, whose sum is σ = 179294394343680. Its totient is φ = 18961305292800.

The previous prime is 58900671350903. The next prime is 58900671351077. The reversal of 58900671351072 is 27015317600985.

58900671351072 is a `hidden beast` number, since 58 + 9 + 0 + 0 + 6 + 7 + 1 + 3 + 510 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (58900671351077) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1716552988 + ... + 1716587300.

It is an arithmetic number, because the mean of its divisors is an integer number (373529988216).

Almost surely, 2^{58900671351072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58900671351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89647197171840).

58900671351072 is an abundant number, since it is smaller than the sum of its proper divisors (120393722992608).

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

58900671351072 is a wasteful number, since it uses less digits than its factorization.

58900671351072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34598 (or 34581 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 58900671351072 in words is "fifty-eight trillion, nine hundred billion, six hundred seventy-one million, three hundred fifty-one thousand, seventy-two".