130456726560 has 288 divisors, whose sum is σ = 450822153600. Its totient is φ = 34350649344.

The previous prime is 130456726541. The next prime is 130456726567. The reversal of 130456726560 is 65627654031.

130456726560 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 5 + 67 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (130456726567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39257059 + ... + 39260381.

It is an arithmetic number, because the mean of its divisors is an integer number (1565354700).

Almost surely, 2^130456726560 is an apocalyptic number.

130456726560 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 130456726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225411076800).

130456726560 is an abundant number, since it is smaller than the sum of its proper divisors (320365427040).

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

130456726560 is a wasteful number, since it uses less digits than its factorization.

130456726560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 130456726560 in words is "one hundred thirty billion, four hundred fifty-six million, seven hundred twenty-six thousand, five hundred sixty".