51457766775415 has 64 divisors (see below), whose sum is σ = 83541065997312. Its totient is φ = 29384032204800.

The previous prime is 51457766775397. The next prime is 51457766775463.

51457766775415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51457766775415 - 2³⁹ = 50908010961527 is a prime.

It is a super-3 number, since 3×51457766775415³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38585842 + ... + 39897151.

It is an arithmetic number, because the mean of its divisors is an integer number (1305329156208).

Almost surely, 2^{51457766775415} is an apocalyptic number.

51457766775415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51457766775415 is a deficient number, since it is larger than the sum of its proper divisors (32083299221897).

51457766775415 is a wasteful number, since it uses less digits than its factorization.

51457766775415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78483160.

The product of its digits is 864360000, while the sum is 70.

The spelling of 51457766775415 in words is "fifty-one trillion, four hundred fifty-seven billion, seven hundred sixty-six million, seven hundred seventy-five thousand, four hundred fifteen".