130062952800 has 576 divisors, whose sum is σ = 514654560000. Its totient is φ = 31438540800.

The previous prime is 130062952787. The next prime is 130062952801. The reversal of 130062952800 is 8259260031.

130062952800 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 629 + 5 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130062952801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118561852 + ... + 118562948.

It is an arithmetic number, because the mean of its divisors is an integer number (893497500).

Almost surely, 2^130062952800 is an apocalyptic number.

130062952800 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 130062952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257327280000).

130062952800 is an abundant number, since it is smaller than the sum of its proper divisors (384591607200).

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

130062952800 is a wasteful number, since it uses less digits than its factorization.

130062952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 130062952800 in words is "one hundred thirty billion, sixty-two million, nine hundred fifty-two thousand, eight hundred".