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58497012864 = 27364361239
BaseRepresentation
bin110110011110101100…
…011001010010000000
312120222202110011000000
4312132230121102000
51424300213402424
642512334000000
74140416256003
oct663654312200
9176882404000
1058497012864
1122899047634
12b406646000
1356932603a4
142b8d01353a
1517c58183c9
hexd9eb19480

58497012864 has 448 divisors, whose sum is σ = 182480284800. Its totient is φ = 18654935040.

The previous prime is 58497012857. The next prime is 58497012877. The reversal of 58497012864 is 46821079485.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58497012864.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 244757257 + ... + 244757495.

Almost surely, 258497012864 is an apocalyptic number.

58497012864 is a gapful number since it is divisible by the number (54) 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 58497012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91240142400).

58497012864 is an abundant number, since it is smaller than the sum of its proper divisors (123983271936).

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

58497012864 is an equidigital number, since it uses as much as digits as its factorization.

58497012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 58497012864 in words is "fifty-eight billion, four hundred ninety-seven million, twelve thousand, eight hundred sixty-four".