899972866800 has 1920 divisors, whose sum is σ = 4091738112000. Its totient is φ = 186955776000.

The previous prime is 899972866757. The next prime is 899972866801. The reversal of 899972866800 is 8668279998.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (899972866801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1952218570 + ... + 1952219030.

It is an arithmetic number, because the mean of its divisors is an integer number (2131113600).

Almost surely, 2^899972866800 is an apocalyptic number.

899972866800 is a gapful number since it is divisible by the number (80) 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 899972866800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045869056000).

899972866800 is an abundant number, since it is smaller than the sum of its proper divisors (3191765245200).

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

899972866800 is a wasteful number, since it uses less digits than its factorization.

899972866800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 899972866800 in words is "eight hundred ninety-nine billion, nine hundred seventy-two million, eight hundred sixty-six thousand, eight hundred".