58413013401600 has 3888 divisors, whose sum is σ = 268706683234080. Its totient is φ = 12383472844800.

The previous prime is 58413013401599. The next prime is 58413013401629. The reversal of 58413013401600 is 610431031485.

58413013401600 is a `hidden beast` number, since 5 + 8 + 4 + 1 + 3 + 0 + 1 + 3 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3074369126391 + ... + 3074369126409.

Almost surely, 2^{58413013401600} is an apocalyptic number.

58413013401600 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 58413013401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134353341617040).

58413013401600 is an abundant number, since it is smaller than the sum of its proper divisors (210293669832480).

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

58413013401600 is an frugal number, since it uses more digits than its factorization.

58413013401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 58413013401600 in words is "fifty-eight trillion, four hundred thirteen billion, thirteen million, four hundred one thousand, six hundred".