58277832480 has 1152 divisors, whose sum is σ = 250195599360. Its totient is φ = 12616611840.

The previous prime is 58277832463. The next prime is 58277832493. The reversal of 58277832480 is 8423877285.

58277832480 is a `hidden beast` number, since 5 + 82 + 7 + 7 + 83 + 2 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 544652587 + ... + 544652693.

It is an arithmetic number, because the mean of its divisors is an integer number (217183680).

Almost surely, 2^58277832480 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 58277832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125097799680).

58277832480 is an abundant number, since it is smaller than the sum of its proper divisors (191917766880).

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

58277832480 is a wasteful number, since it uses less digits than its factorization.

58277832480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 58277832480 in words is "fifty-eight billion, two hundred seventy-seven million, eight hundred thirty-two thousand, four hundred eighty".