20292687932832 has 288 divisors, whose sum is σ = 67064290360704. Its totient is φ = 5700392755200.

The previous prime is 20292687932789. The next prime is 20292687932843. The reversal of 20292687932832 is 23823978629202.

20292687932832 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 268 + 7 + 93 + 283 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 20292687932832.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70228332 + ... + 70516692.

It is an arithmetic number, because the mean of its divisors is an integer number (232862119308).

Almost surely, 2^{20292687932832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20292687932832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33532145180352).

20292687932832 is an abundant number, since it is smaller than the sum of its proper divisors (46771602427872).

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

20292687932832 is a wasteful number, since it uses less digits than its factorization.

20292687932832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288972 (or 288961 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 20292687932832 in words is "twenty trillion, two hundred ninety-two billion, six hundred eighty-seven million, nine hundred thirty-two thousand, eight hundred thirty-two".