51485588558415 has 192 divisors, whose sum is σ = 99018122112000. Its totient is φ = 24540457881600.

The previous prime is 51485588558413. The next prime is 51485588558419.

It is a happy number.

51485588558415 is a `hidden beast` number, since 5 + 1 + 4 + 8 + 5 + 58 + 8 + 558 + 4 + 15 = 666.

51485588558415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51485588558415 - 2¹ = 51485588558413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51485588558413) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3772107511 + ... + 3772121159.

It is an arithmetic number, because the mean of its divisors is an integer number (515719386000).

Almost surely, 2^{51485588558415} is an apocalyptic number.

51485588558415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51485588558415 is a deficient number, since it is larger than the sum of its proper divisors (47532533553585).

51485588558415 is a wasteful number, since it uses less digits than its factorization.

51485588558415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14318 (or 14315 counting only the distinct ones).

The product of its digits is 1024000000, while the sum is 72.

The spelling of 51485588558415 in words is "fifty-one trillion, four hundred eighty-five billion, five hundred eighty-eight million, five hundred fifty-eight thousand, four hundred fifteen".