130067938560 has 576 divisors, whose sum is σ = 484877352960. Its totient is φ = 29103390720.

The previous prime is 130067938501. The next prime is 130067938591. The reversal of 130067938560 is 65839760031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301781545 + ... + 301781975.

It is an arithmetic number, because the mean of its divisors is an integer number (841800960).

Almost surely, 2^130067938560 is an apocalyptic number.

130067938560 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 130067938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242438676480).

130067938560 is an abundant number, since it is smaller than the sum of its proper divisors (354809414400).

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

130067938560 is a wasteful number, since it uses less digits than its factorization.

130067938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 130067938560 in words is "one hundred thirty billion, sixty-seven million, nine hundred thirty-eight thousand, five hundred sixty".