10494289167120 has 400 divisors, whose sum is σ = 40014997501248. Its totient is φ = 2527863137280.

The previous prime is 10494289167119. The next prime is 10494289167121. The reversal of 10494289167120 is 2176198249401.

10494289167120 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 428 + 91 + 6 + 7 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (10494289167119) and next prime (10494289167121).

It is a super-2 number, since 2×10494289167120² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10494289167121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10722087 + ... + 11659833.

Almost surely, 2^{10494289167120} is an apocalyptic number.

10494289167120 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 10494289167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007498750624).

10494289167120 is an abundant number, since it is smaller than the sum of its proper divisors (29520708334128).

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

10494289167120 is a wasteful number, since it uses less digits than its factorization.

10494289167120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937940 (or 937925 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10494289167120 in words is "ten trillion, four hundred ninety-four billion, two hundred eighty-nine million, one hundred sixty-seven thousand, one hundred twenty".