100859224480560 has 960 divisors, whose sum is σ = 443874270228480. Its totient is φ = 19916482314240.

The previous prime is 100859224480481. The next prime is 100859224480579. The reversal of 100859224480560 is 65084422958001.

100859224480560 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 5 + 92 + 24 + 480 + 56 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100859224480497 and 100859224480506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 199124425 + ... + 199630295.

It is an arithmetic number, because the mean of its divisors is an integer number (462369031488).

Almost surely, 2^{100859224480560} is an apocalyptic number.

100859224480560 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 100859224480560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221937135114240).

100859224480560 is an abundant number, since it is smaller than the sum of its proper divisors (343015045747920).

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

100859224480560 is a wasteful number, since it uses less digits than its factorization.

100859224480560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506106 (or 506097 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 100859224480560 in words is "one hundred trillion, eight hundred fifty-nine billion, two hundred twenty-four million, four hundred eighty thousand, five hundred sixty".