21202993152 has 456 divisors, whose sum is σ = 71974119360. Its totient is φ = 5945425920.

The previous prime is 21202993139. The next prime is 21202993159. The reversal of 21202993152 is 25139920212.

21202993152 is a `hidden beast` number, since 212 + 0 + 299 + 3 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21202993159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493092843 + ... + 493092885.

Almost surely, 2^21202993152 is an apocalyptic number.

21202993152 is a gapful number since it is divisible by the number (22) 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 21202993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35987059680).

21202993152 is an abundant number, since it is smaller than the sum of its proper divisors (50771126208).

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

21202993152 is an equidigital number, since it uses as much as digits as its factorization.

21202993152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 21202993152 in words is "twenty-one billion, two hundred two million, nine hundred ninety-three thousand, one hundred fifty-two".