20025292963104 has 768 divisors, whose sum is σ = 69067651484160. Its totient is φ = 5564918661120.

The previous prime is 20025292963099. The next prime is 20025292963147. The reversal of 20025292963104 is 40136929252002.

20025292963104 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 5 + 2 + 9 + 2 + 9 + 631 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20025292963104.

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, 18321401982 + ... + 18321403074.

It is an arithmetic number, because the mean of its divisors is an integer number (89931837870).

Almost surely, 2^{20025292963104} is an apocalyptic number.

20025292963104 is a gapful number since it is divisible by the number (24) 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 20025292963104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34533825742080).

20025292963104 is an abundant number, since it is smaller than the sum of its proper divisors (49042358521056).

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

20025292963104 is a wasteful number, since it uses less digits than its factorization.

20025292963104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 20025292963104 in words is "twenty trillion, twenty-five billion, two hundred ninety-two million, nine hundred sixty-three thousand, one hundred four".