58653005974416 has 640 divisors, whose sum is σ = 199433955409920. Its totient is φ = 16156985241600.

The previous prime is 58653005974393. The next prime is 58653005974429. The reversal of 58653005974416 is 61447950035685.

It is a happy number.

58653005974416 is a `hidden beast` number, since 5 + 8 + 6 + 5 + 30 + 0 + 597 + 4 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22412305140 + ... + 22412307756.

It is an arithmetic number, because the mean of its divisors is an integer number (311615555328).

Almost surely, 2^{58653005974416} is an apocalyptic number.

58653005974416 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 58653005974416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99716977704960).

58653005974416 is an abundant number, since it is smaller than the sum of its proper divisors (140780949435504).

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

58653005974416 is a wasteful number, since it uses less digits than its factorization.

58653005974416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 58653005974416 in words is "fifty-eight trillion, six hundred fifty-three billion, five million, nine hundred seventy-four thousand, four hundred sixteen".