130679041920 has 256 divisors, whose sum is σ = 476372966400. Its totient is φ = 29848928256.

The previous prime is 130679041919. The next prime is 130679041921. The reversal of 130679041920 is 29140976031.

It is an interprime number because it is at equal distance from previous prime (130679041919) and next prime (130679041921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130679041921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28611477 + ... + 28616043.

It is an arithmetic number, because the mean of its divisors is an integer number (1860831900).

Almost surely, 2^130679041920 is an apocalyptic number.

130679041920 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 130679041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238186483200).

130679041920 is an abundant number, since it is smaller than the sum of its proper divisors (345693924480).

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

130679041920 is a wasteful number, since it uses less digits than its factorization.

130679041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 130679041920 in words is "one hundred thirty billion, six hundred seventy-nine million, forty-one thousand, nine hundred twenty".