5101476864000 has 448 divisors, whose sum is σ = 18520135875072. Its totient is φ = 1236713472000.

The previous prime is 5101476863993. The next prime is 5101476864037. The reversal of 5101476864000 is 4686741015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33716517 + ... + 33867483.

Almost surely, 2^{5101476864000} is an apocalyptic number.

5101476864000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101476864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260067937536).

5101476864000 is an abundant number, since it is smaller than the sum of its proper divisors (13418659011072).

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

5101476864000 is a wasteful number, since it uses less digits than its factorization.

5101476864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151022 (or 150988 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 5101476864000 in words is "five trillion, one hundred one billion, four hundred seventy-six million, eight hundred sixty-four thousand".