10233577770320 has 80 divisors (see below), whose sum is σ = 26061373103760. Its totient is φ = 3719791337472.

The previous prime is 10233577770319. The next prime is 10233577770343. The reversal of 10233577770320 is 2307777533201.

It can be written as a sum of positive squares in 8 ways, for example, as 469027740736 + 9764550029584 = 684856^2 + 3124828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10233577770320² (a number of 27 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 15 ways as a sum of consecutive naturals, for example, 129696587 + ... + 129775466.

It is an arithmetic number, because the mean of its divisors is an integer number (325767163797).

Almost surely, 2^{10233577770320} is an apocalyptic number.

10233577770320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233577770320 is an abundant number, since it is smaller than the sum of its proper divisors (15827795333440).

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

10233577770320 is a wasteful number, since it uses less digits than its factorization.

10233577770320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259472112 (or 259472106 counting only the distinct ones).

The product of its (nonzero) digits is 1296540, while the sum is 47.

The spelling of 10233577770320 in words is "ten trillion, two hundred thirty-three billion, five hundred seventy-seven million, seven hundred seventy thousand, three hundred twenty".