20132695800 has 1152 divisors, whose sum is σ = 87354408960. Its totient is φ = 4208371200.

The previous prime is 20132695783. The next prime is 20132695879. The reversal of 20132695800 is 859623102.

20132695800 is a `hidden beast` number, since 2 + 0 + 13 + 2 + 69 + 580 + 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 (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 242562559 + ... + 242562641.

It is an arithmetic number, because the mean of its divisors is an integer number (75828480).

Almost surely, 2^20132695800 is an apocalyptic number.

20132695800 is a gapful number since it is divisible by the number (20) 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 20132695800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43677204480).

20132695800 is an abundant number, since it is smaller than the sum of its proper divisors (67221713160).

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

20132695800 is a wasteful number, since it uses less digits than its factorization.

20132695800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

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

The spelling of 20132695800 in words is "twenty billion, one hundred thirty-two million, six hundred ninety-five thousand, eight hundred".