20509632000 has 1280 divisors, whose sum is σ = 90084234240. Its totient is φ = 4534272000.

The previous prime is 20509631993. The next prime is 20509632049. The reversal of 20509632000 is 23690502.

20509632000 is a `hidden beast` number, since 20 + 5 + 0 + 9 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247103959 + ... + 247104041.

It is an arithmetic number, because the mean of its divisors is an integer number (70378308).

Almost surely, 2^20509632000 is an apocalyptic number.

20509632000 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 20509632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45042117120).

20509632000 is an abundant number, since it is smaller than the sum of its proper divisors (69574602240).

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

20509632000 is a wasteful number, since it uses less digits than its factorization.

20509632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 20509632000 in words is "twenty billion, five hundred nine million, six hundred thirty-two thousand".