10583978832 has 360 divisors, whose sum is σ = 36769432320. Its totient is φ = 2903402880.

The previous prime is 10583978831. The next prime is 10583978837. The reversal of 10583978832 is 23887938501.

It is a super-2 number, since 2×10583978832² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10583978831) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83338353 + ... + 83338479.

It is an arithmetic number, because the mean of its divisors is an integer number (102137312).

Almost surely, 2^10583978832 is an apocalyptic number.

10583978832 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 10583978832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18384716160).

10583978832 is an abundant number, since it is smaller than the sum of its proper divisors (26185453488).

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

10583978832 is a wasteful number, since it uses less digits than its factorization.

10583978832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10583978832 in words is "ten billion, five hundred eighty-three million, nine hundred seventy-eight thousand, eight hundred thirty-two".