213881172480 has 480 divisors, whose sum is σ = 795452980608. Its totient is φ = 52917043200.

The previous prime is 213881172467. The next prime is 213881172481. The reversal of 213881172480 is 84271188312.

213881172480 is a `hidden beast` number, since 2 + 13 + 88 + 11 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (213881172481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27805435 + ... + 27813125.

Almost surely, 2^213881172480 is an apocalyptic number.

213881172480 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 213881172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397726490304).

213881172480 is an abundant number, since it is smaller than the sum of its proper divisors (581571808128).

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

213881172480 is a wasteful number, since it uses less digits than its factorization.

213881172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 213881172480 in words is "two hundred thirteen billion, eight hundred eighty-one million, one hundred seventy-two thousand, four hundred eighty".