10672897152 has 64 divisors (see below), whose sum is σ = 28387913760. Its totient is φ = 3552860160.

The previous prime is 10672897139. The next prime is 10672897153. The reversal of 10672897152 is 25179827601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10672897152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10672897153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273963 + ... + 310485.

Almost surely, 2^10672897152 is an apocalyptic number.

10672897152 is a gapful number since it is divisible by the number (12) 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 10672897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14193956880).

10672897152 is an abundant number, since it is smaller than the sum of its proper divisors (17715016608).

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

10672897152 is an equidigital number, since it uses as much as digits as its factorization.

10672897152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37301 (or 37289 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 10672897152 in words is "ten billion, six hundred seventy-two million, eight hundred ninety-seven thousand, one hundred fifty-two".