216173725152 has 288 divisors, whose sum is σ = 713810361600. Its totient is φ = 56072417280.

The previous prime is 216173725133. The next prime is 216173725169. The reversal of 216173725152 is 251527371612.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82855624 + ... + 82858232.

It is an arithmetic number, because the mean of its divisors is an integer number (2478508200).

Almost surely, 2^216173725152 is an apocalyptic number.

216173725152 is a gapful number since it is divisible by the number (22) 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 216173725152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356905180800).

216173725152 is an abundant number, since it is smaller than the sum of its proper divisors (497636636448).

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

216173725152 is a wasteful number, since it uses less digits than its factorization.

216173725152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3651 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The spelling of 216173725152 in words is "two hundred sixteen billion, one hundred seventy-three million, seven hundred twenty-five thousand, one hundred fifty-two".