10190310824672 has 72 divisors (see below), whose sum is σ = 22052961177408. Its totient is φ = 4631717995520.

The previous prime is 10190310824611. The next prime is 10190310824677. The reversal of 10190310824672 is 27642801309101.

10190310824672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10190310824677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89219633 + ... + 89333775.

It is an arithmetic number, because the mean of its divisors is an integer number (306291127464).

Almost surely, 2^{10190310824672} is an apocalyptic number.

It is an amenable number.

10190310824672 is an abundant number, since it is smaller than the sum of its proper divisors (11862650352736).

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

10190310824672 is a wasteful number, since it uses less digits than its factorization.

10190310824672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137232 (or 137213 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 10190310824672 in words is "ten trillion, one hundred ninety billion, three hundred ten million, eight hundred twenty-four thousand, six hundred seventy-two".