11639322589440 has 2304 divisors, whose sum is σ = 50687955763200. Its totient is φ = 2207239372800.

The previous prime is 11639322589399. The next prime is 11639322589457. The reversal of 11639322589440 is 4498522393611.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11745027345 + ... + 11745028335.

It is an arithmetic number, because the mean of its divisors is an integer number (21999980800).

Almost surely, 2^{11639322589440} is an apocalyptic number.

11639322589440 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 11639322589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25343977881600).

11639322589440 is an abundant number, since it is smaller than the sum of its proper divisors (39048633173760).

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

11639322589440 is a wasteful number, since it uses less digits than its factorization.

11639322589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 11639322589440 in words is "eleven trillion, six hundred thirty-nine billion, three hundred twenty-two million, five hundred eighty-nine thousand, four hundred forty".