2138566872960 has 1152 divisors, whose sum is σ = 9050419722240. Its totient is φ = 472845496320.

The previous prime is 2138566872931. The next prime is 2138566872977. The reversal of 2138566872960 is 692786658312.

It is a happy number.

2138566872960 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 566 + 8 + 7 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 911190507 + ... + 911192853.

It is an arithmetic number, because the mean of its divisors is an integer number (7856267120).

Almost surely, 2^{2138566872960} is an apocalyptic number.

2138566872960 is a gapful number since it is divisible by the number (20) 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 2138566872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525209861120).

2138566872960 is an abundant number, since it is smaller than the sum of its proper divisors (6911852849280).

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

2138566872960 is an frugal number, since it uses more digits than its factorization.

2138566872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2138566872960 in words is "two trillion, one hundred thirty-eight billion, five hundred sixty-six million, eight hundred seventy-two thousand, nine hundred sixty".