102266079552000 has 7680 divisors, whose sum is σ = 507937809899520. Its totient is φ = 20316635136000.

The previous prime is 102266079551957. The next prime is 102266079552011. The reversal of 102266079552000 is 255970662201.

102266079552000 is a `hidden beast` number, since 1 + 0 + 2 + 26 + 6 + 0 + 79 + 552 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2763948095982 + ... + 2763948096018.

It is an arithmetic number, because the mean of its divisors is an integer number (66137735664).

Almost surely, 2^{102266079552000} is an apocalyptic number.

102266079552000 is a gapful number since it is divisible by the number (10) 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 102266079552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253968904949760).

102266079552000 is an abundant number, since it is smaller than the sum of its proper divisors (405671730347520).

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

102266079552000 is an frugal number, since it uses more digits than its factorization.

102266079552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 102266079552000 in words is "one hundred two trillion, two hundred sixty-six billion, seventy-nine million, five hundred fifty-two thousand".