48822664156200 has 2304 divisors, whose sum is σ = 195826746286080. Its totient is φ = 11290752000000.

The previous prime is 48822664156187. The next prime is 48822664156223. The reversal of 48822664156200 is 265146622884.

48822664156200 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 2 + 6 + 6 + 4 + 1 + 5 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 194512606075 + ... + 194512606325.

It is an arithmetic number, because the mean of its divisors is an integer number (84994247520).

Almost surely, 2^{48822664156200} is an apocalyptic number.

48822664156200 is a gapful number since it is divisible by the number (40) 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 48822664156200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97913373143040).

48822664156200 is an abundant number, since it is smaller than the sum of its proper divisors (147004082129880).

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

48822664156200 is a wasteful number, since it uses less digits than its factorization.

48822664156200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 48822664156200 in words is "forty-eight trillion, eight hundred twenty-two billion, six hundred sixty-four million, one hundred fifty-six thousand, two hundred".