215741590132320 has 3072 divisors, whose sum is σ = 957574014566400. Its totient is φ = 44264107376640.

The previous prime is 215741590132267. The next prime is 215741590132337. The reversal of 215741590132320 is 23231095147512.

215741590132320 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 4 + 1 + 590 + 1 + 32 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 262779037510 + ... + 262779038330.

It is an arithmetic number, because the mean of its divisors is an integer number (311710291200).

Almost surely, 2^{215741590132320} is an apocalyptic number.

215741590132320 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 215741590132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478787007283200).

215741590132320 is an abundant number, since it is smaller than the sum of its proper divisors (741832424434080).

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

215741590132320 is a wasteful number, since it uses less digits than its factorization.

215741590132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 215741590132320 in words is "two hundred fifteen trillion, seven hundred forty-one billion, five hundred ninety million, one hundred thirty-two thousand, three hundred twenty".