216187051172400 has 1080 divisors, whose sum is σ = 977342010607872. Its totient is φ = 44921967552000.

The previous prime is 216187051172399. The next prime is 216187051172429. The reversal of 216187051172400 is 4271150781612.

216187051172400 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 8 + 70 + 5 + 1 + 172 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 81015445 + ... + 83641355.

Almost surely, 2^{216187051172400} is an apocalyptic number.

216187051172400 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 216187051172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488671005303936).

216187051172400 is an abundant number, since it is smaller than the sum of its proper divisors (761154959435472).

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

216187051172400 is a wasteful number, since it uses less digits than its factorization.

216187051172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625973 (or 2625939 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 216187051172400 in words is "two hundred sixteen trillion, one hundred eighty-seven billion, fifty-one million, one hundred seventy-two thousand, four hundred".