21303146995200 has 2160 divisors, whose sum is σ = 93552477258240. Its totient is φ = 4526300528640.

The previous prime is 21303146995199. The next prime is 21303146995219. The reversal of 21303146995200 is 259964130312.

21303146995200 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 31 + 4 + 6 + 99 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25391116381 + ... + 25391117219.

It is an arithmetic number, because the mean of its divisors is an integer number (43311332064).

Almost surely, 2^{21303146995200} is an apocalyptic number.

21303146995200 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 21303146995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46776238629120).

21303146995200 is an abundant number, since it is smaller than the sum of its proper divisors (72249330263040).

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

21303146995200 is a wasteful number, since it uses less digits than its factorization.

21303146995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 21303146995200 in words is "twenty-one trillion, three hundred three billion, one hundred forty-six million, nine hundred ninety-five thousand, two hundred".