213902871840 has 576 divisors, whose sum is σ = 866499379200. Its totient is φ = 47020124160.

The previous prime is 213902871829. The next prime is 213902871887. The reversal of 213902871840 is 48178209312.

It is a happy number.

213902871840 is a `hidden beast` number, since 2 + 1 + 390 + 2 + 87 + 184 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52182111 + ... + 52186209.

It is an arithmetic number, because the mean of its divisors is an integer number (1504339200).

Almost surely, 2^213902871840 is an apocalyptic number.

213902871840 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 213902871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433249689600).

213902871840 is an abundant number, since it is smaller than the sum of its proper divisors (652596507360).

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

213902871840 is a wasteful number, since it uses less digits than its factorization.

213902871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 213902871840 in words is "two hundred thirteen billion, nine hundred two million, eight hundred seventy-one thousand, eight hundred forty".