130211935526400 has 2880 divisors, whose sum is σ = 569453330654208. Its totient is φ = 25590528737280.

The previous prime is 130211935526399. The next prime is 130211935526419. The reversal of 130211935526400 is 4625539112031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79543026382 + ... + 79543028018.

Almost surely, 2^{130211935526400} is an apocalyptic number.

130211935526400 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 130211935526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284726665327104).

130211935526400 is an abundant number, since it is smaller than the sum of its proper divisors (439241395127808).

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

130211935526400 is a wasteful number, since it uses less digits than its factorization.

130211935526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 130211935526400 in words is "one hundred thirty trillion, two hundred eleven billion, nine hundred thirty-five million, five hundred twenty-six thousand, four hundred".