1139879632320 has 896 divisors, whose sum is σ = 4876815605760. Its totient is φ = 246841344000.

The previous prime is 1139879632313. The next prime is 1139879632363. The reversal of 1139879632320 is 232369789311.

1139879632320 is a `hidden beast` number, since 1 + 139 + 87 + 96 + 323 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38286240 + ... + 38316000.

It is an arithmetic number, because the mean of its divisors is an integer number (5442874560).

Almost surely, 2^{1139879632320} is an apocalyptic number.

1139879632320 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 1139879632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438407802880).

1139879632320 is an abundant number, since it is smaller than the sum of its proper divisors (3736935973440).

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

1139879632320 is a wasteful number, since it uses less digits than its factorization.

1139879632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29842 (or 29826 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1139879632320 in words is "one trillion, one hundred thirty-nine billion, eight hundred seventy-nine million, six hundred thirty-two thousand, three hundred twenty".