229796503372800 has 5280 divisors, whose sum is σ = 1084909704445952. Its totient is φ = 46773408890880.

The previous prime is 229796503372763. The next prime is 229796503372819. The reversal of 229796503372800 is 8273305697922.

229796503372800 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 96 + 503 + 37 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1030477593489 + ... + 1030477593711.

Almost surely, 2^{229796503372800} is an apocalyptic number.

229796503372800 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 229796503372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542454852222976).

229796503372800 is an abundant number, since it is smaller than the sum of its proper divisors (855113201073152).

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

229796503372800 is a wasteful number, since it uses less digits than its factorization.

229796503372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 229796503372800 in words is "two hundred twenty-nine trillion, seven hundred ninety-six billion, five hundred three million, three hundred seventy-two thousand, eight hundred".