215497948579680 has 768 divisors, whose sum is σ = 745123706449920. Its totient is φ = 52032909606912.

The previous prime is 215497948579649. The next prime is 215497948579691. The reversal of 215497948579680 is 86975849794512.

It is a junction number, because it is equal to n+sod(n) for n = 215497948579593 and 215497948579602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124349652094 + ... + 124349653826.

It is an arithmetic number, because the mean of its divisors is an integer number (970213159440).

Almost surely, 2^{215497948579680} is an apocalyptic number.

215497948579680 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 215497948579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372561853224960).

215497948579680 is an abundant number, since it is smaller than the sum of its proper divisors (529625757870240).

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

215497948579680 is a wasteful number, since it uses less digits than its factorization.

215497948579680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 10973491200, while the sum is 84.

The spelling of 215497948579680 in words is "two hundred fifteen trillion, four hundred ninety-seven billion, nine hundred forty-eight million, five hundred seventy-nine thousand, six hundred eighty".