950512132080 has 2240 divisors, whose sum is σ = 4246813900800. Its totient is φ = 192887101440.

The previous prime is 950512132079. The next prime is 950512132123. The reversal of 950512132080 is 80231215059.

950512132080 is a `hidden beast` number, since 9 + 5 + 0 + 512 + 132 + 0 + 8 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 14186748207 + ... + 14186748273.

Almost surely, 2^950512132080 is an apocalyptic number.

950512132080 is a gapful number since it is divisible by the number (90) 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 950512132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123406950400).

950512132080 is an abundant number, since it is smaller than the sum of its proper divisors (3296301768720).

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

950512132080 is a wasteful number, since it uses less digits than its factorization.

950512132080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 950512132080 in words is "nine hundred fifty billion, five hundred twelve million, one hundred thirty-two thousand, eighty".