20111952000 has 768 divisors, whose sum is σ = 82281588480. Its totient is φ = 4318003200.

The previous prime is 20111951999. The next prime is 20111952011. The reversal of 20111952000 is 25911102.

It is a super-2 number, since 2×20111952000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39983749 + ... + 39984251.

It is an arithmetic number, because the mean of its divisors is an integer number (107137485).

Almost surely, 2^20111952000 is an apocalyptic number.

20111952000 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 20111952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140794240).

20111952000 is an abundant number, since it is smaller than the sum of its proper divisors (62169636480).

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

20111952000 is a wasteful number, since it uses less digits than its factorization.

20111952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 20111952000 in words is "twenty billion, one hundred eleven million, nine hundred fifty-two thousand".