381260597760 has 1600 divisors, whose sum is σ = 1661742213120. Its totient is φ = 81696522240.

The previous prime is 381260597759. The next prime is 381260597827. The reversal of 381260597760 is 67795062183.

381260597760 is a `hidden beast` number, since 38 + 12 + 6 + 0 + 597 + 7 + 6 + 0 = 666.

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 = 381260597697 and 381260597706.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1664893326 + ... + 1664893554.

Almost surely, 2^381260597760 is an apocalyptic number.

381260597760 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 381260597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830871106560).

381260597760 is an abundant number, since it is smaller than the sum of its proper divisors (1280481615360).

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

381260597760 is a wasteful number, since it uses less digits than its factorization.

381260597760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 381260597760 in words is "three hundred eighty-one billion, two hundred sixty million, five hundred ninety-seven thousand, seven hundred sixty".