81226150608960 has 1792 divisors, whose sum is σ = 345378097152000. Its totient is φ = 17951818752000.

The previous prime is 81226150608931. The next prime is 81226150608997. The reversal of 81226150608960 is 6980605162218.

81226150608960 is a `hidden beast` number, since 8 + 1 + 2 + 26 + 1 + 5 + 0 + 608 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 81226150608897 and 81226150608906.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12870564205 + ... + 12870570515.

Almost surely, 2^{81226150608960} is an apocalyptic number.

81226150608960 is a gapful number since it is divisible by the number (80) 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 81226150608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172689048576000).

81226150608960 is an abundant number, since it is smaller than the sum of its proper divisors (264151946543040).

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

81226150608960 is a wasteful number, since it uses less digits than its factorization.

81226150608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 81226150608960 in words is "eighty-one trillion, two hundred twenty-six billion, one hundred fifty million, six hundred eight thousand, nine hundred sixty".