10360872000 has 560 divisors, whose sum is σ = 39123152640. Its totient is φ = 2706048000.

The previous prime is 10360871999. The next prime is 10360872017. The reversal of 10360872000 is 27806301.

It is a super-3 number, since 3×10360872000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38231865 + ... + 38232135.

Almost surely, 2^10360872000 is an apocalyptic number.

10360872000 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 10360872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561576320).

10360872000 is an abundant number, since it is smaller than the sum of its proper divisors (28762280640).

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

10360872000 is an equidigital number, since it uses as much as digits as its factorization.

10360872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10360872000 in words is "ten billion, three hundred sixty million, eight hundred seventy-two thousand".