2139038976816 has 320 divisors, whose sum is σ = 7128650880000. Its totient is φ = 601462278144.

The previous prime is 2139038976799. The next prime is 2139038976847. The reversal of 2139038976816 is 6186798309312.

2139038976816 is a `hidden beast` number, since 21 + 3 + 90 + 389 + 76 + 81 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103080810 + ... + 103101558.

It is an arithmetic number, because the mean of its divisors is an integer number (22277034000).

Almost surely, 2^{2139038976816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139038976816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564325440000).

2139038976816 is an abundant number, since it is smaller than the sum of its proper divisors (4989611903184).

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

2139038976816 is a wasteful number, since it uses less digits than its factorization.

2139038976816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21313 (or 21301 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 2139038976816 in words is "two trillion, one hundred thirty-nine billion, thirty-eight million, nine hundred seventy-six thousand, eight hundred sixteen".