2139079090176 has 896 divisors, whose sum is σ = 7666048696320. Its totient is φ = 576493977600.

The previous prime is 2139079090163. The next prime is 2139079090237. The reversal of 2139079090176 is 6710909709312.

It is a happy number.

2139079090176 is a `hidden beast` number, since 213 + 90 + 7 + 90 + 90 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

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 63 ways as a sum of consecutive naturals, for example, 1967873505 + ... + 1967874591.

It is an arithmetic number, because the mean of its divisors is an integer number (8555857920).

Almost surely, 2^{2139079090176} 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 2139079090176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833024348160).

2139079090176 is an abundant number, since it is smaller than the sum of its proper divisors (5526969606144).

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

2139079090176 is a wasteful number, since it uses less digits than its factorization.

2139079090176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 2139079090176 in words is "two trillion, one hundred thirty-nine billion, seventy-nine million, ninety thousand, one hundred seventy-six".