15580381777920 has 1248 divisors, whose sum is σ = 60292139806080. Its totient is φ = 3844991877120.

The previous prime is 15580381777913. The next prime is 15580381777969. The reversal of 15580381777920 is 2977718308551.

15580381777920 is a `hidden beast` number, since 1 + 5 + 580 + 38 + 17 + 7 + 7 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×15580381777920³ (a number of 41 digits) contains 333 as substring.

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, 5160774171 + ... + 5160777189.

It is an arithmetic number, because the mean of its divisors is an integer number (48311009460).

Almost surely, 2^{15580381777920} is an apocalyptic number.

15580381777920 is a gapful number since it is divisible by the number (10) 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 15580381777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30146069903040).

15580381777920 is an abundant number, since it is smaller than the sum of its proper divisors (44711758028160).

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

15580381777920 is an equidigital number, since it uses as much as digits as its factorization.

15580381777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 15580381777920 in words is "fifteen trillion, five hundred eighty billion, three hundred eighty-one million, seven hundred seventy-seven thousand, nine hundred twenty".