213897529440 has 480 divisors, whose sum is σ = 864066196224. Its totient is φ = 48814617600.

The previous prime is 213897529399. The next prime is 213897529477. The reversal of 213897529440 is 44925798312.

213897529440 is a `hidden beast` number, since 21 + 3 + 8 + 97 + 529 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75024015 + ... + 75026865.

Almost surely, 2^213897529440 is an apocalyptic number.

213897529440 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 213897529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432033098112).

213897529440 is an abundant number, since it is smaller than the sum of its proper divisors (650168666784).

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

213897529440 is a wasteful number, since it uses less digits than its factorization.

213897529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 213897529440 in words is "two hundred thirteen billion, eight hundred ninety-seven million, five hundred twenty-nine thousand, four hundred forty".