920066893200 has 2880 divisors, whose sum is σ = 4408449269760. Its totient is φ = 177914880000.

The previous prime is 920066893189. The next prime is 920066893271. The reversal of 920066893200 is 2398660029.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9109573150 + ... + 9109573250.

It is an arithmetic number, because the mean of its divisors is an integer number (1530711552).

Almost surely, 2^920066893200 is an apocalyptic number.

920066893200 is a gapful number since it is divisible by the number (90) 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 920066893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204224634880).

920066893200 is an abundant number, since it is smaller than the sum of its proper divisors (3488382376560).

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

920066893200 is a wasteful number, since it uses less digits than its factorization.

920066893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 920066893200 in words is "nine hundred twenty billion, sixty-six million, eight hundred ninety-three thousand, two hundred".