5214315504000 has 128 divisors (see below), whose sum is σ = 17285456054880. Its totient is φ = 1390484121600.

The previous prime is 5214315503921. The next prime is 5214315504019. The reversal of 5214315504000 is 4055134125.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54267787 + ... + 54363786.

Almost surely, 2^{5214315504000} is an apocalyptic number.

5214315504000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5214315504000 is an abundant number, since it is smaller than the sum of its proper divisors (12071140550880).

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

5214315504000 is a wasteful number, since it uses less digits than its factorization.

5214315504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108631605 (or 108631583 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 5214315504000 in words is "five trillion, two hundred fourteen billion, three hundred fifteen million, five hundred four thousand".