501272428800 has 1728 divisors, whose sum is σ = 2051278209792. Its totient is φ = 106168320000.

The previous prime is 501272428753. The next prime is 501272428831. The reversal of 501272428800 is 8824272105.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6866745564 + ... + 6866745636.

Almost surely, 2^501272428800 is an apocalyptic number.

501272428800 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 501272428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025639104896).

501272428800 is an abundant number, since it is smaller than the sum of its proper divisors (1550005780992).

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

501272428800 is a wasteful number, since it uses less digits than its factorization.

501272428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 501272428800 in words is "five hundred one billion, two hundred seventy-two million, four hundred twenty-eight thousand, eight hundred".