10359297148928 has 384 divisors, whose sum is σ = 25824587443200. Its totient is φ = 4045211172864.

The previous prime is 10359297148897. The next prime is 10359297149011. The reversal of 10359297148928 is 82984179295301.

It is a super-3 number, since 3×10359297148928³ (a number of 40 digits) contains 333 as substring.

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, 12997863026 + ... + 12997863822.

It is an arithmetic number, because the mean of its divisors is an integer number (67251529800).

Almost surely, 2^{10359297148928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10359297148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12912293721600).

10359297148928 is an abundant number, since it is smaller than the sum of its proper divisors (15465290294272).

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

10359297148928 is an equidigital number, since it uses as much as digits as its factorization.

10359297148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 68.

The spelling of 10359297148928 in words is "ten trillion, three hundred fifty-nine billion, two hundred ninety-seven million, one hundred forty-eight thousand, nine hundred twenty-eight".