58451336640 has 560 divisors, whose sum is σ = 221795705760. Its totient is φ = 14670139392.

The previous prime is 58451336621. The next prime is 58451336663. The reversal of 58451336640 is 4663315485.

58451336640 is a `hidden beast` number, since 584 + 5 + 1 + 3 + 3 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5202 × 4590 × 2448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3438313912 + ... + 3438313928.

Almost surely, 2^58451336640 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 58451336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110897852880).

58451336640 is an abundant number, since it is smaller than the sum of its proper divisors (163344369120).

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

58451336640 is an frugal number, since it uses more digits than its factorization.

58451336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 58451336640 in words is "fifty-eight billion, four hundred fifty-one million, three hundred thirty-six thousand, six hundred forty".