10517472000 has 1152 divisors, whose sum is σ = 46528634880. Its totient is φ = 2289254400.

The previous prime is 10517471989. The next prime is 10517472013. The reversal of 10517472000 is 27471501.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10517472000² (a number of 21 digits) contains 22 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 127 ways as a sum of consecutive naturals, for example, 223775977 + ... + 223776023.

It is an arithmetic number, because the mean of its divisors is an integer number (40389440).

Almost surely, 2^10517472000 is an apocalyptic number.

10517472000 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 10517472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23264317440).

10517472000 is an abundant number, since it is smaller than the sum of its proper divisors (36011162880).

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

10517472000 is an equidigital number, since it uses as much as digits as its factorization.

10517472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 10517472000 in words is "ten billion, five hundred seventeen million, four hundred seventy-two thousand".