76151201073152 has 96 divisors (see below), whose sum is σ = 153457620301440. Its totient is φ = 37778325258240.

The previous prime is 76151201073089. The next prime is 76151201073163. The reversal of 76151201073152 is 25137010215167.

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 7 ways as a sum of consecutive naturals, for example, 173744393 + ... + 174182135.

It is an arithmetic number, because the mean of its divisors is an integer number (1598516878140).

Almost surely, 2^{76151201073152} 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 76151201073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76728810150720).

76151201073152 is an abundant number, since it is smaller than the sum of its proper divisors (77306419228288).

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

76151201073152 is a wasteful number, since it uses less digits than its factorization.

76151201073152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438429 (or 438409 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 41.

The spelling of 76151201073152 in words is "seventy-six trillion, one hundred fifty-one billion, two hundred one million, seventy-three thousand, one hundred fifty-two".