1139925739680 has 1440 divisors, whose sum is σ = 5022032400000. Its totient is φ = 238418878464.

The previous prime is 1139925739649. The next prime is 1139925739699. The reversal of 1139925739680 is 869375299311.

1139925739680 is a `hidden beast` number, since 1 + 1 + 39 + 92 + 57 + 396 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2284420071 + ... + 2284420569.

It is an arithmetic number, because the mean of its divisors is an integer number (3487522500).

Almost surely, 2^{1139925739680} is an apocalyptic number.

1139925739680 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 1139925739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511016200000).

1139925739680 is an abundant number, since it is smaller than the sum of its proper divisors (3882106660320).

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

1139925739680 is a wasteful number, since it uses less digits than its factorization.

1139925739680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 1139925739680 in words is "one trillion, one hundred thirty-nine billion, nine hundred twenty-five million, seven hundred thirty-nine thousand, six hundred eighty".