10172655360 has 432 divisors, whose sum is σ = 40655160000. Its totient is φ = 2300313600.

The previous prime is 10172655341. The next prime is 10172655371. The reversal of 10172655360 is 6355627101.

10172655360 is a `hidden beast` number, since 10 + 17 + 26 + 553 + 60 = 666.

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 47 ways as a sum of consecutive naturals, for example, 8144016 + ... + 8145264.

Almost surely, 2^10172655360 is an apocalyptic number.

10172655360 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 10172655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327580000).

10172655360 is an abundant number, since it is smaller than the sum of its proper divisors (30482504640).

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

10172655360 is a wasteful number, since it uses less digits than its factorization.

10172655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10172655360 in words is "ten billion, one hundred seventy-two million, six hundred fifty-five thousand, three hundred sixty".