76126131218208 has 48 divisors (see below), whose sum is σ = 208519402908096. Its totient is φ = 24272099808000.

The previous prime is 76126131218161. The next prime is 76126131218251. The reversal of 76126131218208 is 80281213162167.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×76126131218208² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17238705043 + ... + 17238709458.

It is an arithmetic number, because the mean of its divisors is an integer number (4344154227252).

Almost surely, 2^{76126131218208} is an apocalyptic number.

It is an amenable number.

76126131218208 is an abundant number, since it is smaller than the sum of its proper divisors (132393271689888).

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

76126131218208 is a wasteful number, since it uses less digits than its factorization.

76126131218208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34477414537 (or 34477414529 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 76126131218208 in words is "seventy-six trillion, one hundred twenty-six billion, one hundred thirty-one million, two hundred eighteen thousand, two hundred eight".