20215148800 has 864 divisors, whose sum is σ = 70075514880. Its totient is φ = 5573836800.

The previous prime is 20215148771. The next prime is 20215148809. The reversal of 20215148800 is 884151202.

It is a super-2 number, since 2×20215148800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20215148809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159174337 + ... + 159174463.

It is an arithmetic number, because the mean of its divisors is an integer number (81105920).

Almost surely, 2^20215148800 is an apocalyptic number.

20215148800 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 20215148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35037757440).

20215148800 is an abundant number, since it is smaller than the sum of its proper divisors (49860366080).

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

20215148800 is a wasteful number, since it uses less digits than its factorization.

20215148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The spelling of 20215148800 in words is "twenty billion, two hundred fifteen million, one hundred forty-eight thousand, eight hundred".