213170150880 has 576 divisors, whose sum is σ = 798904124928. Its totient is φ = 51527024640.

The previous prime is 213170150827. The next prime is 213170150887. The reversal of 213170150880 is 88051071312.

213170150880 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 70 + 1 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213170150887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195031614 + ... + 195032706.

It is an arithmetic number, because the mean of its divisors is an integer number (1386986328).

Almost surely, 2^213170150880 is an apocalyptic number.

213170150880 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 213170150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399452062464).

213170150880 is an abundant number, since it is smaller than the sum of its proper divisors (585733974048).

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

213170150880 is a wasteful number, since it uses less digits than its factorization.

213170150880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 213170150880 in words is "two hundred thirteen billion, one hundred seventy million, one hundred fifty thousand, eight hundred eighty".