215834725440 has 420 divisors, whose sum is σ = 815609487396. Its totient is φ = 54168403968.

The previous prime is 215834725427. The next prime is 215834725441. The reversal of 215834725440 is 44527438512.

215834725440 is a `hidden beast` number, since 2 + 1 + 5 + 8 + 34 + 72 + 544 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 301091904 + 215533633536 = 17352^2 + 464256^2 .

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 (215834725441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7476474 + ... + 7505286.

Almost surely, 2^215834725440 is an apocalyptic number.

215834725440 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 215834725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407804743698).

215834725440 is an abundant number, since it is smaller than the sum of its proper divisors (599774761956).

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

215834725440 is a wasteful number, since it uses less digits than its factorization.

215834725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28876 (or 28840 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 215834725440 in words is "two hundred fifteen billion, eight hundred thirty-four million, seven hundred twenty-five thousand, four hundred forty".