504262860386880 has 224 divisors, whose sum is σ = 1830093600070656. Its totient is φ = 115238678132736.

The previous prime is 504262860386771. The next prime is 504262860386897. The reversal of 504262860386880 is 88683068262405.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×504262860386880² (a number of 30 digits) contains 22 as substring.

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, 29235807 + ... + 43165473.

Almost surely, 2^{504262860386880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504262860386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915046800035328).

504262860386880 is an abundant number, since it is smaller than the sum of its proper divisors (1325830739683776).

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

504262860386880 is a wasteful number, since it uses less digits than its factorization.

504262860386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935081 (or 13935071 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 66.

The spelling of 504262860386880 in words is "five hundred four trillion, two hundred sixty-two billion, eight hundred sixty million, three hundred eighty-six thousand, eight hundred eighty".