215345260530400 has 576 divisors, whose sum is σ = 706996189347840. Its totient is φ = 61856918323200.

The previous prime is 215345260530371. The next prime is 215345260530427. The reversal of 215345260530400 is 4035062543512.

It is a super-3 number, since 3×215345260530400³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493875681 + ... + 494311519.

It is an arithmetic number, because the mean of its divisors is an integer number (1227423939840).

Almost surely, 2^{215345260530400} is an apocalyptic number.

215345260530400 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 215345260530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353498094673920).

215345260530400 is an abundant number, since it is smaller than the sum of its proper divisors (491650928817440).

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

215345260530400 is a wasteful number, since it uses less digits than its factorization.

215345260530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436507 (or 436494 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 215345260530400 in words is "two hundred fifteen trillion, three hundred forty-five billion, two hundred sixty million, five hundred thirty thousand, four hundred".