10258055405568 has 224 divisors, whose sum is σ = 30767651464320. Its totient is φ = 3419345829888.

The previous prime is 10258055405557. The next prime is 10258055405581. The reversal of 10258055405568 is 86550455085201.

It is a happy number.

10258055405568 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 80 + 5 + 5 + 4 + 0 + 556 + 8 = 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 15 ways as a sum of consecutive naturals, for example, 17629621 + ... + 18202187.

Almost surely, 2^{10258055405568} is an apocalyptic number.

10258055405568 is a gapful number since it is divisible by the number (18) 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 10258055405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383825732160).

10258055405568 is an abundant number, since it is smaller than the sum of its proper divisors (20509596058752).

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

10258055405568 is an frugal number, since it uses more digits than its factorization.

10258055405568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572614 (or 572572 counting only the distinct ones).

The product of its (nonzero) digits is 9600000, while the sum is 54.

The spelling of 10258055405568 in words is "ten trillion, two hundred fifty-eight billion, fifty-five million, four hundred five thousand, five hundred sixty-eight".