58552764816 has 360 divisors, whose sum is σ = 200587295520. Its totient is φ = 14627837952.

The previous prime is 58552764799. The next prime is 58552764833. The reversal of 58552764816 is 61846725585.

It is an interprime number because it is at equal distance from previous prime (58552764799) and next prime (58552764833).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7548396 + ... + 7556148.

It is an arithmetic number, because the mean of its divisors is an integer number (557186932).

Almost surely, 2^58552764816 is an apocalyptic number.

58552764816 is a gapful number since it is divisible by the number (56) 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 58552764816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100293647760).

58552764816 is an abundant number, since it is smaller than the sum of its proper divisors (142034530704).

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

58552764816 is a wasteful number, since it uses less digits than its factorization.

58552764816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823 (or 7797 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 57.

The spelling of 58552764816 in words is "fifty-eight billion, five hundred fifty-two million, seven hundred sixty-four thousand, eight hundred sixteen".