381206891520 has 2376 divisors, whose sum is σ = 1772066512944. Its totient is φ = 78256668672.

The previous prime is 381206891519. The next prime is 381206891537. The reversal of 381206891520 is 25198602183.

381206891520 is a `hidden beast` number, since 38 + 1 + 2 + 0 + 6 + 8 + 91 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10302888942 + ... + 10302888978.

Almost surely, 2^381206891520 is an apocalyptic number.

381206891520 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 381206891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886033256472).

381206891520 is an abundant number, since it is smaller than the sum of its proper divisors (1390859621424).

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

381206891520 is a wasteful number, since it uses less digits than its factorization.

381206891520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 381206891520 in words is "three hundred eighty-one billion, two hundred six million, eight hundred ninety-one thousand, five hundred twenty".