1139553792 has 320 divisors, whose sum is σ = 3856628160. Its totient is φ = 329121792.

The previous prime is 1139553761. The next prime is 1139553797. The reversal of 1139553792 is 2973559311.

1139553792 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 553 + 7 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139553797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3054918 + ... + 3055290.

It is an arithmetic number, because the mean of its divisors is an integer number (12051963).

Almost surely, 2^1139553792 is an apocalyptic number.

1139553792 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 1139553792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928314080).

1139553792 is an abundant number, since it is smaller than the sum of its proper divisors (2717074368).

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

1139553792 is a wasteful number, since it uses less digits than its factorization.

1139553792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 408 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 1139553792 is about 33757.2776153528. The cubic root of 1139553792 is about 1044.5076141596.

It can be divided in two parts, 1139 and 553792, that added together give a triangular number (554931 = T₁₀₅₃).

The spelling of 1139553792 in words is "one billion, one hundred thirty-nine million, five hundred fifty-three thousand, seven hundred ninety-two".