58048396268544 has 1056 divisors, whose sum is σ = 195916313174400. Its totient is φ = 16368606904320.

The previous prime is 58048396268491. The next prime is 58048396268557. The reversal of 58048396268544 is 44586269384085.

58048396268544 is a `hidden beast` number, since 5 + 8 + 0 + 48 + 39 + 6 + 2 + 6 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41198293312 + ... + 41198294720.

Almost surely, 2^{58048396268544} 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 58048396268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97958156587200).

58048396268544 is an abundant number, since it is smaller than the sum of its proper divisors (137867916905856).

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

58048396268544 is a wasteful number, since it uses less digits than its factorization.

58048396268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 1592524800, while the sum is 72.

The spelling of 58048396268544 in words is "fifty-eight trillion, forty-eight billion, three hundred ninety-six million, two hundred sixty-eight thousand, five hundred forty-four".