2975496132096 has 320 divisors, whose sum is σ = 9277709760000. Its totient is φ = 938974519296.

The previous prime is 2975496132083. The next prime is 2975496132101. The reversal of 2975496132096 is 6902316945792.

2975496132096 is a `hidden beast` number, since 2 + 9 + 7 + 5 + 4 + 9 + 613 + 2 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493527610 + ... + 493533638.

It is an arithmetic number, because the mean of its divisors is an integer number (28992843000).

Almost surely, 2^{2975496132096} 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 2975496132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638854880000).

2975496132096 is an abundant number, since it is smaller than the sum of its proper divisors (6302213627904).

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

2975496132096 is a wasteful number, since it uses less digits than its factorization.

2975496132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 2975496132096 in words is "two trillion, nine hundred seventy-five billion, four hundred ninety-six million, one hundred thirty-two thousand, ninety-six".