217379090880 has 1344 divisors, whose sum is σ = 939412131840. Its totient is φ = 46792359936.

The previous prime is 217379090879. The next prime is 217379090921. The reversal of 217379090880 is 88090973712.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 741908014 + ... + 741908306.

It is an arithmetic number, because the mean of its divisors is an integer number (698967360).

Almost surely, 2^217379090880 is an apocalyptic number.

217379090880 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 217379090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469706065920).

217379090880 is an abundant number, since it is smaller than the sum of its proper divisors (722033040960).

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

217379090880 is a wasteful number, since it uses less digits than its factorization.

217379090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 217379090880 in words is "two hundred seventeen billion, three hundred seventy-nine million, ninety thousand, eight hundred eighty".