10251087928560 has 1280 divisors, whose sum is σ = 38507249664000. Its totient is φ = 2500550922240.

The previous prime is 10251087928507. The next prime is 10251087928603. The reversal of 10251087928560 is 6582978015201.

10251087928560 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 1 + 0 + 8 + 79 + 2 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10251087928497 and 10251087928506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21401018401 + ... + 21401018879.

It is an arithmetic number, because the mean of its divisors is an integer number (30083788800).

Almost surely, 2^{10251087928560} is an apocalyptic number.

10251087928560 is a gapful number since it is divisible by the number (10) 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 10251087928560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253624832000).

10251087928560 is an abundant number, since it is smaller than the sum of its proper divisors (28256161735440).

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

10251087928560 is a wasteful number, since it uses less digits than its factorization.

10251087928560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 10251087928560 in words is "ten trillion, two hundred fifty-one billion, eighty-seven million, nine hundred twenty-eight thousand, five hundred sixty".