132050408760000 has 1680 divisors, whose sum is σ = 516605888198400. Its totient is φ = 33367251456000.

The previous prime is 132050408759981. The next prime is 132050408760037. The reversal of 132050408760000 is 67804050231.

132050408760000 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 5 + 0 + 40 + 8 + 7 + 600 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24368037291 + ... + 24368042709.

It is an arithmetic number, because the mean of its divisors is an integer number (307503504880).

Almost surely, 2^{132050408760000} is an apocalyptic number.

132050408760000 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 132050408760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258302944099200).

132050408760000 is an abundant number, since it is smaller than the sum of its proper divisors (384555479438400).

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

132050408760000 is an equidigital number, since it uses as much as digits as its factorization.

132050408760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 132050408760000 in words is "one hundred thirty-two trillion, fifty billion, four hundred eight million, seven hundred sixty thousand".