481279718772600 has 384 divisors, whose sum is σ = 1631271836206080. Its totient is φ = 116410982400000.

The previous prime is 481279718772563. The next prime is 481279718772623. The reversal of 481279718772600 is 6277817972184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5437345944 + ... + 5437434456.

It is an arithmetic number, because the mean of its divisors is an integer number (4248103740120).

Almost surely, 2^{481279718772600} is an apocalyptic number.

481279718772600 is a gapful number since it is divisible by the number (40) 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 481279718772600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815635918103040).

481279718772600 is an abundant number, since it is smaller than the sum of its proper divisors (1149992117433480).

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

481279718772600 is a wasteful number, since it uses less digits than its factorization.

481279718772600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90391 (or 90382 counting only the distinct ones).

The product of its (nonzero) digits is 132765696, while the sum is 69.

The spelling of 481279718772600 in words is "four hundred eighty-one trillion, two hundred seventy-nine billion, seven hundred eighteen million, seven hundred seventy-two thousand, six hundred".