10753141392 has 200 divisors, whose sum is σ = 35686233792. Its totient is φ = 3062188800.

The previous prime is 10753141363. The next prime is 10753141403. The reversal of 10753141392 is 29314135701.

10753141392 is a `hidden beast` number, since 107 + 53 + 1 + 413 + 92 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 3001042 + ... + 3004622.

Almost surely, 2^10753141392 is an apocalyptic number.

10753141392 is a gapful number since it is divisible by the number (12) 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 10753141392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17843116896).

10753141392 is an abundant number, since it is smaller than the sum of its proper divisors (24933092400).

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

10753141392 is a wasteful number, since it uses less digits than its factorization.

10753141392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10753141392 in words is "ten billion, seven hundred fifty-three million, one hundred forty-one thousand, three hundred ninety-two".