213640156800 has 1536 divisors, whose sum is σ = 933422400000. Its totient is φ = 48283361280.

The previous prime is 213640156789. The next prime is 213640156823. The reversal of 213640156800 is 8651046312.

It is a happy number.

213640156800 is a `hidden beast` number, since 2 + 1 + 3 + 640 + 1 + 5 + 6 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2400451156 + ... + 2400451244.

It is an arithmetic number, because the mean of its divisors is an integer number (607696875).

Almost surely, 2^213640156800 is an apocalyptic number.

213640156800 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 213640156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466711200000).

213640156800 is an abundant number, since it is smaller than the sum of its proper divisors (719782243200).

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

213640156800 is an frugal number, since it uses more digits than its factorization.

213640156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 213640156800 in words is "two hundred thirteen billion, six hundred forty million, one hundred fifty-six thousand, eight hundred".