10407087360 has 504 divisors, whose sum is σ = 39409382880. Its totient is φ = 2624679936.

The previous prime is 10407087323. The next prime is 10407087373. The reversal of 10407087360 is 6378070401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 17728987 + ... + 17729573.

It is an arithmetic number, because the mean of its divisors is an integer number (78193220).

Almost surely, 2^10407087360 is an apocalyptic number.

10407087360 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 10407087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19704691440).

10407087360 is an abundant number, since it is smaller than the sum of its proper divisors (29002295520).

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

10407087360 is an frugal number, since it uses more digits than its factorization.

10407087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10407087360 in words is "ten billion, four hundred seven million, eighty-seven thousand, three hundred sixty".