213155925840 has 1120 divisors, whose sum is σ = 889371826560. Its totient is φ = 46805299200.

The previous prime is 213155925833. The next prime is 213155925847. The reversal of 213155925840 is 48529551312.

213155925840 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 5 + 592 + 58 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213155925833) and next prime (213155925847).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213155925847) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 508725151 + ... + 508725569.

It is an arithmetic number, because the mean of its divisors is an integer number (794081988).

Almost surely, 2^213155925840 is an apocalyptic number.

213155925840 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 213155925840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444685913280).

213155925840 is an abundant number, since it is smaller than the sum of its proper divisors (676215900720).

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

213155925840 is a wasteful number, since it uses less digits than its factorization.

213155925840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 213155925840 in words is "two hundred thirteen billion, one hundred fifty-five million, nine hundred twenty-five thousand, eight hundred forty".