76121088000000 has 952 divisors, whose sum is σ = 258042728260800. Its totient is φ = 19955712000000.

The previous prime is 76121087999969. The next prime is 76121088000017. The reversal of 76121088000000 is 88012167.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 218111999826 + ... + 218112000174.

Almost surely, 2^{76121088000000} 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 76121088000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129021364130400).

76121088000000 is an abundant number, since it is smaller than the sum of its proper divisors (181921640260800).

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

76121088000000 is an frugal number, since it uses more digits than its factorization.

76121088000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 76121088000000 in words is "seventy-six trillion, one hundred twenty-one billion, eighty-eight million", and thus it is an aban number.