1138620487680 has 576 divisors, whose sum is σ = 4289293008000. Its totient is φ = 277672624128.

The previous prime is 1138620487649. The next prime is 1138620487717. The reversal of 1138620487680 is 867840268311.

1138620487680 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 620 + 4 + 8 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1138620487680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130586361 + ... + 130595079.

It is an arithmetic number, because the mean of its divisors is an integer number (7446689250).

Almost surely, 2^{1138620487680} is an apocalyptic number.

1138620487680 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 1138620487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144646504000).

1138620487680 is an abundant number, since it is smaller than the sum of its proper divisors (3150672520320).

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

1138620487680 is a wasteful number, since it uses less digits than its factorization.

1138620487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1138620487680 in words is "one trillion, one hundred thirty-eight billion, six hundred twenty million, four hundred eighty-seven thousand, six hundred eighty".