213758582400 has 1152 divisors, whose sum is σ = 879010704000. Its totient is φ = 48977510400.

The previous prime is 213758582399. The next prime is 213758582431. The reversal of 213758582400 is 4285857312.

213758582400 is a `hidden beast` number, since 2 + 13 + 7 + 58 + 582 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 486921381 + ... + 486921819.

It is an arithmetic number, because the mean of its divisors is an integer number (763030125).

Almost surely, 2^213758582400 is an apocalyptic number.

213758582400 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 213758582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439505352000).

213758582400 is an abundant number, since it is smaller than the sum of its proper divisors (665252121600).

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

213758582400 is a wasteful number, since it uses less digits than its factorization.

213758582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 213758582400 in words is "two hundred thirteen billion, seven hundred fifty-eight million, five hundred eighty-two thousand, four hundred".