10583919840 has 288 divisors, whose sum is σ = 38146641120. Its totient is φ = 2451603456.

The previous prime is 10583919817. The next prime is 10583919877. The reversal of 10583919840 is 4891938501.

It is a super-2 number, since 2×10583919840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10583919840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800426 + ... + 1806294.

It is an arithmetic number, because the mean of its divisors is an integer number (132453615).

Almost surely, 2^10583919840 is an apocalyptic number.

10583919840 is a gapful number since it is divisible by the number (10) 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 10583919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19073320560).

10583919840 is an abundant number, since it is smaller than the sum of its proper divisors (27562721280).

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

10583919840 is a wasteful number, since it uses less digits than its factorization.

10583919840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 10583919840 in words is "ten billion, five hundred eighty-three million, nine hundred nineteen thousand, eight hundred forty".