130416002297856 has 832 divisors, whose sum is σ = 440300728212480. Its totient is φ = 37760532480000.

The previous prime is 130416002297851. The next prime is 130416002297909. The reversal of 130416002297856 is 658792200614031.

It is a happy number.

130416002297856 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 1 + 600 + 2 + 29 + 7 + 8 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130416002297851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33603709036 + ... + 33603712916.

It is a 2-persistent number, because it is pandigital, and so is 2⋅130416002297856 = 260832004595712, but 3⋅130416002297856 = 391248006893568 is not.

Almost surely, 2^{130416002297856} is an apocalyptic number.

130416002297856 is a gapful number since it is divisible by the number (16) 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 130416002297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220150364106240).

130416002297856 is an abundant number, since it is smaller than the sum of its proper divisors (309884725914624).

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

130416002297856 is a wasteful number, since it uses less digits than its factorization.

130416002297856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 130416002297856 in words is "one hundred thirty trillion, four hundred sixteen billion, two million, two hundred ninety-seven thousand, eight hundred fifty-six".