130771279782528 has 384 divisors, whose sum is σ = 438967664271360. Its totient is φ = 33763159541760.

The previous prime is 130771279782427. The next prime is 130771279782553. The reversal of 130771279782528 is 825287972177031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×130771279782528² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53112625 + ... + 55520207.

It is an arithmetic number, because the mean of its divisors is an integer number (1143144959040).

Almost surely, 2^{130771279782528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130771279782528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219483832135680).

130771279782528 is an abundant number, since it is smaller than the sum of its proper divisors (308196384488832).

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

130771279782528 is a wasteful number, since it uses less digits than its factorization.

130771279782528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407796 (or 2407773 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 69.

The spelling of 130771279782528 in words is "one hundred thirty trillion, seven hundred seventy-one billion, two hundred seventy-nine million, seven hundred eighty-two thousand, five hundred twenty-eight".