213377180688 has 320 divisors, whose sum is σ = 758385745920. Its totient is φ = 56043767808.

The previous prime is 213377180677. The next prime is 213377180701. The reversal of 213377180688 is 886081773312.

213377180688 is a `hidden beast` number, since 2 + 13 + 377 + 180 + 6 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2162281 + ... + 2258807.

It is an arithmetic number, because the mean of its divisors is an integer number (2369955456).

Almost surely, 2^213377180688 is an apocalyptic number.

213377180688 is a gapful number since it is divisible by the number (28) 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 213377180688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379192872960).

213377180688 is an abundant number, since it is smaller than the sum of its proper divisors (545008565232).

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

213377180688 is a wasteful number, since it uses less digits than its factorization.

213377180688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96611 (or 96599 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 213377180688 in words is "two hundred thirteen billion, three hundred seventy-seven million, one hundred eighty thousand, six hundred eighty-eight".