130075882354496 has 112 divisors (see below), whose sum is σ = 284449486675200. Its totient is φ = 58636736428032.

The previous prime is 130075882354489. The next prime is 130075882354547. The reversal of 130075882354496 is 694453288570031.

It is a super-2 number, since 2×130075882354496² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410923570 + ... + 1411015758.

It is an arithmetic number, because the mean of its divisors is an integer number (2539727559600).

It is a 1-persistent number, because it is pandigital, but 2⋅130075882354496 = 260151764708992 is not.

Almost surely, 2^{130075882354496} is an apocalyptic number.

130075882354496 is a gapful number since it is divisible by the number (16) 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 130075882354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142224743337600).

130075882354496 is an abundant number, since it is smaller than the sum of its proper divisors (154373604320704).

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

130075882354496 is a wasteful number, since it uses less digits than its factorization.

130075882354496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131696 (or 131686 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 65.

The spelling of 130075882354496 in words is "one hundred thirty trillion, seventy-five billion, eight hundred eighty-two million, three hundred fifty-four thousand, four hundred ninety-six".