76552163251200 has 3168 divisors, whose sum is σ = 351834036736000. Its totient is φ = 16059816345600.

The previous prime is 76552163251177. The next prime is 76552163251247. The reversal of 76552163251200 is 215236125567.

It is a happy number.

76552163251200 is a `hidden beast` number, since 7 + 6 + 5 + 5 + 2 + 1 + 632 + 5 + 1 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 153411148551 + ... + 153411149049.

Almost surely, 2^{76552163251200} is an apocalyptic number.

76552163251200 is a gapful number since it is divisible by the number (70) 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 76552163251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175917018368000).

76552163251200 is an abundant number, since it is smaller than the sum of its proper divisors (275281873484800).

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

76552163251200 is a wasteful number, since it uses less digits than its factorization.

76552163251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

Adding to 76552163251200 its reverse (215236125567), we get a palindrome (76767399376767).

The spelling of 76552163251200 in words is "seventy-six trillion, five hundred fifty-two billion, one hundred sixty-three million, two hundred fifty-one thousand, two hundred".