398715125760 has 1440 divisors, whose sum is σ = 1735680260160. Its totient is φ = 85614133248.

The previous prime is 398715125729. The next prime is 398715125777. The reversal of 398715125760 is 67521517893.

398715125760 is a `hidden beast` number, since 3 + 9 + 8 + 71 + 512 + 57 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 398715125697 and 398715125706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10776084462 + ... + 10776084498.

It is an arithmetic number, because the mean of its divisors is an integer number (1205333514).

Almost surely, 2^398715125760 is an apocalyptic number.

398715125760 is a gapful number since it is divisible by the number (30) 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 398715125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867840130080).

398715125760 is an abundant number, since it is smaller than the sum of its proper divisors (1336965134400).

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

398715125760 is an frugal number, since it uses more digits than its factorization.

398715125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 398715125760 in words is "three hundred ninety-eight billion, seven hundred fifteen million, one hundred twenty-five thousand, seven hundred sixty".