5142416115600 has 90 divisors (see below), whose sum is σ = 17845612382546. Its totient is φ = 1371310963200.

The previous prime is 5142416115569. The next prime is 5142416115601. The reversal of 5142416115600 is 65116142415.

5142416115600 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 41 + 6 + 1 + 1 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3163387536 + 5139252728064 = 56244^2 + 2266992^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5142416115601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 714220861 + ... + 714228060.

Almost surely, 2^{5142416115600} is an apocalyptic number.

5142416115600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5142416115600 is an abundant number, since it is smaller than the sum of its proper divisors (12703196266946).

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

5142416115600 is a wasteful number, since it uses less digits than its factorization.

5142416115600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428448945 (or 1428448931 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 5142416115600 in words is "five trillion, one hundred forty-two billion, four hundred sixteen million, one hundred fifteen thousand, six hundred".