213952752000 has 1792 divisors, whose sum is σ = 920374902720. Its totient is φ = 48970137600.

The previous prime is 213952751993. The next prime is 213952752023. The reversal of 213952752000 is 257259312.

213952752000 is a `hidden beast` number, since 21 + 3 + 95 + 27 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2577743959 + ... + 2577744041.

Almost surely, 2^213952752000 is an apocalyptic number.

213952752000 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 213952752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460187451360).

213952752000 is an abundant number, since it is smaller than the sum of its proper divisors (706422150720).

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

213952752000 is an equidigital number, since it uses as much as digits as its factorization.

213952752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 213952752000 in words is "two hundred thirteen billion, nine hundred fifty-two million, seven hundred fifty-two thousand".