102272017476960 has 576 divisors, whose sum is σ = 368086558694400. Its totient is φ = 25808150016000.

The previous prime is 102272017476859. The next prime is 102272017477129. The reversal of 102272017476960 is 69674710272201.

102272017476960 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 72 + 0 + 17 + 476 + 96 + 0 = 666.

It is a super-2 number, since 2×102272017476960² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102272017476897 and 102272017476906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1238613597 + ... + 1238696163.

It is an arithmetic number, because the mean of its divisors is an integer number (639039164400).

Almost surely, 2^{102272017476960} is an apocalyptic number.

102272017476960 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 102272017476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184043279347200).

102272017476960 is an abundant number, since it is smaller than the sum of its proper divisors (265814541217440).

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

102272017476960 is a wasteful number, since it uses less digits than its factorization.

102272017476960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83011 (or 83000 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 102272017476960 in words is "one hundred two trillion, two hundred seventy-two billion, seventeen million, four hundred seventy-six thousand, nine hundred sixty".