10487485846656 has 512 divisors, whose sum is σ = 38315972620800. Its totient is φ = 2749928030208.

The previous prime is 10487485846589. The next prime is 10487485846667. The reversal of 10487485846656 is 65664858478401.

10487485846656 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 7 + 485 + 84 + 6 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54311430 + ... + 54504186.

It is an arithmetic number, because the mean of its divisors is an integer number (74835884025).

Almost surely, 2^{10487485846656} is an apocalyptic number.

10487485846656 is a gapful number since it is divisible by the number (16) 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 10487485846656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19157986310400).

10487485846656 is an abundant number, since it is smaller than the sum of its proper divisors (27828486774144).

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

10487485846656 is a wasteful number, since it uses less digits than its factorization.

10487485846656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192973 (or 192955 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 10487485846656 in words is "ten trillion, four hundred eighty-seven billion, four hundred eighty-five million, eight hundred forty-six thousand, six hundred fifty-six".