10363250416032 has 72 divisors (see below), whose sum is σ = 29473546713156. Its totient is φ = 3454058904576.

The previous prime is 10363250416019. The next prime is 10363250416061. The reversal of 10363250416032 is 23061405236301.

10363250416032 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 3 + 2 + 5 + 0 + 41 + 603 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10144709125776 + 218541290256 = 3185076^2 + 467484^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×10363250416032³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 927748 + ... + 4646204.

Almost surely, 2^{10363250416032} is an apocalyptic number.

10363250416032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10363250416032 is an abundant number, since it is smaller than the sum of its proper divisors (19110296297124).

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

10363250416032 is a wasteful number, since it uses less digits than its factorization.

10363250416032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728150 (or 3728139 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10363250416032 in words is "ten trillion, three hundred sixty-three billion, two hundred fifty million, four hundred sixteen thousand, thirty-two".