130385526616800 has 1152 divisors, whose sum is σ = 582450640773120. Its totient is φ = 27411897139200.

The previous prime is 130385526616777. The next prime is 130385526616831. The reversal of 130385526616800 is 8616625583031.

It is a happy number.

130385526616800 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 8 + 552 + 6 + 6 + 1 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×130385526616800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 552215569 + ... + 552451631.

It is an arithmetic number, because the mean of its divisors is an integer number (505599514560).

Almost surely, 2^{130385526616800} is an apocalyptic number.

130385526616800 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 130385526616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291225320386560).

130385526616800 is an abundant number, since it is smaller than the sum of its proper divisors (452065114156320).

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

130385526616800 is a wasteful number, since it uses less digits than its factorization.

130385526616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236393 (or 236374 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 130385526616800 in words is "one hundred thirty trillion, three hundred eighty-five billion, five hundred twenty-six million, six hundred sixteen thousand, eight hundred".