10166926049280 has 3648 divisors, whose sum is σ = 50607368904960. Its totient is φ = 1902536294400.

The previous prime is 10166926049263. The next prime is 10166926049309. The reversal of 10166926049280 is 8294062966101.

10166926049280 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 6 + 9 + 2 + 604 + 9 + 28 + 0 = 666.

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

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, 247973806060 + ... + 247973806100.

It is an arithmetic number, because the mean of its divisors is an integer number (13872634020).

Almost surely, 2^{10166926049280} is an apocalyptic number.

10166926049280 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 10166926049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25303684452480).

10166926049280 is an abundant number, since it is smaller than the sum of its proper divisors (40440442855680).

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

10166926049280 is an equidigital number, since it uses as much as digits as its factorization.

10166926049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10166926049280 in words is "ten trillion, one hundred sixty-six billion, nine hundred twenty-six million, forty-nine thousand, two hundred eighty".