76251120400541 has 16 divisors (see below), whose sum is σ = 79619435144640. Its totient is φ = 72932100554880.

The previous prime is 76251120400493. The next prime is 76251120400573. The reversal of 76251120400541 is 14500402115267.

It is a cyclic number.

It is not a de Polignac number, because 76251120400541 - 2³⁸ = 75976242493597 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 76251120400495 and 76251120400504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76251120450541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153745001 + ... + 154240161.

It is an arithmetic number, because the mean of its divisors is an integer number (4976214696540).

Almost surely, 2^{76251120400541} is an apocalyptic number.

It is an amenable number.

76251120400541 is a deficient number, since it is larger than the sum of its proper divisors (3368314744099).

76251120400541 is a wasteful number, since it uses less digits than its factorization.

76251120400541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544924.

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 76251120400541 in words is "seventy-six trillion, two hundred fifty-one billion, one hundred twenty million, four hundred thousand, five hundred forty-one".