215728579346400 has 360 divisors, whose sum is σ = 787345356437640. Its totient is φ = 57481906314240.

The previous prime is 215728579346381. The next prime is 215728579346477. The reversal of 215728579346400 is 4643975827512.

It is a happy number.

215728579346400 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 2 + 85 + 7 + 93 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80261062 + ... + 82905338.

It is an arithmetic number, because the mean of its divisors is an integer number (2187070434549).

It is a 4-persistent number, because k⋅215728579346400 is pandigital for 1 ≤ k ≤ 4, but not for k = 5.

Almost surely, 2^{215728579346400} is an apocalyptic number.

215728579346400 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 215728579346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393672678218820).

215728579346400 is an abundant number, since it is smaller than the sum of its proper divisors (571616777091240).

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

215728579346400 is a wasteful number, since it uses less digits than its factorization.

215728579346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645568 (or 2645546 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 215728579346400 in words is "two hundred fifteen trillion, seven hundred twenty-eight billion, five hundred seventy-nine million, three hundred forty-six thousand, four hundred".