130620893760 has 448 divisors, whose sum is σ = 528098918400. Its totient is φ = 29772969984.

The previous prime is 130620893759. The next prime is 130620893771. The reversal of 130620893760 is 67398026031.

130620893760 is a `hidden beast` number, since 13 + 0 + 620 + 8 + 9 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×130620893760² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23161021 + ... + 23166659.

Almost surely, 2^130620893760 is an apocalyptic number.

130620893760 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 130620893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264049459200).

130620893760 is an abundant number, since it is smaller than the sum of its proper divisors (397478024640).

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

130620893760 is a wasteful number, since it uses less digits than its factorization.

130620893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 130620893760 in words is "one hundred thirty billion, six hundred twenty million, eight hundred ninety-three thousand, seven hundred sixty".