20958912000 has 800 divisors, whose sum is σ = 84346726464. Its totient is φ = 5142528000.

The previous prime is 20958911887. The next prime is 20958912017. The reversal of 20958912000 is 21985902.

It is a tau number, because it is divible by the number of its divisors (800).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67391845 + ... + 67392155.

Almost surely, 2^20958912000 is an apocalyptic number.

20958912000 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 20958912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42173363232).

20958912000 is an abundant number, since it is smaller than the sum of its proper divisors (63387814464).

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

20958912000 is an equidigital number, since it uses as much as digits as its factorization.

20958912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 20958912000 in words is "twenty billion, nine hundred fifty-eight million, nine hundred twelve thousand".