10113672000 has 224 divisors, whose sum is σ = 34029725184. Its totient is φ = 2645760000.

The previous prime is 10113671969. The next prime is 10113672029. The reversal of 10113672000 is 27631101.

It is a super-2 number, since 2×10113672000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268025 + ... + 1275975.

It is an arithmetic number, because the mean of its divisors is an integer number (151918416).

Almost surely, 2^10113672000 is an apocalyptic number.

10113672000 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 10113672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014862592).

10113672000 is an abundant number, since it is smaller than the sum of its proper divisors (23916053184).

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

10113672000 is an equidigital number, since it uses as much as digits as its factorization.

10113672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8034 (or 8014 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The spelling of 10113672000 in words is "ten billion, one hundred thirteen million, six hundred seventy-two thousand".