10192252944384 has 1200 divisors, whose sum is σ = 35955026731008. Its totient is φ = 2817240072192.

The previous prime is 10192252944383. The next prime is 10192252944397. The reversal of 10192252944384 is 48344925229101.

10192252944384 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 2 + 252 + 9 + 4 + 4 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10192252944384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10192252944383) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62529159087 + ... + 62529159249.

Almost surely, 2^{10192252944384} is an apocalyptic number.

10192252944384 is a gapful number since it is divisible by the number (14) 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 10192252944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17977513365504).

10192252944384 is an abundant number, since it is smaller than the sum of its proper divisors (25762773786624).

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

10192252944384 is an equidigital number, since it uses as much as digits as its factorization.

10192252944384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 10192252944384 in words is "ten trillion, one hundred ninety-two billion, two hundred fifty-two million, nine hundred forty-four thousand, three hundred eighty-four".