20081152000 has 416 divisors, whose sum is σ = 61824881664. Its totient is φ = 6340608000.

The previous prime is 20081151997. The next prime is 20081152009. The reversal of 20081152000 is 25118002.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-3 number, since 3×20081152000³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20081152009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46591785 + ... + 46592215.

It is an arithmetic number, because the mean of its divisors is an integer number (148617504).

Almost surely, 2^20081152000 is an apocalyptic number.

20081152000 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 20081152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30912440832).

20081152000 is an abundant number, since it is smaller than the sum of its proper divisors (41743729664).

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

20081152000 is an equidigital number, since it uses as much as digits as its factorization.

20081152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The spelling of 20081152000 in words is "twenty billion, eighty-one million, one hundred fifty-two thousand".