58401732480 has 512 divisors, whose sum is σ = 239092439040. Its totient is φ = 11785568256.

The previous prime is 58401732469. The next prime is 58401732497. The reversal of 58401732480 is 8423710485.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4011294 + ... + 4025826.

It is an arithmetic number, because the mean of its divisors is an integer number (466977420).

Almost surely, 2^58401732480 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 58401732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119546219520).

58401732480 is an abundant number, since it is smaller than the sum of its proper divisors (180690706560).

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

58401732480 is a wasteful number, since it uses less digits than its factorization.

58401732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14598 (or 14586 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 58401732480 in words is "fifty-eight billion, four hundred one million, seven hundred thirty-two thousand, four hundred eighty".