10546814772240 has 80 divisors (see below), whose sum is σ = 32914556280000. Its totient is φ = 2793608198656.

The previous prime is 10546814772223. The next prime is 10546814772257. The reversal of 10546814772240 is 4227741864501.

It is an interprime number because it is at equal distance from previous prime (10546814772223) and next prime (10546814772257).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10546814772240² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147430890 + ... + 147502409.

It is an arithmetic number, because the mean of its divisors is an integer number (411431953500).

Almost surely, 2^{10546814772240} is an apocalyptic number.

10546814772240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10546814772240 is an abundant number, since it is smaller than the sum of its proper divisors (22367741507760).

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

10546814772240 is a wasteful number, since it uses less digits than its factorization.

10546814772240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294933464 (or 294933458 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 10546814772240 in words is "ten trillion, five hundred forty-six billion, eight hundred fourteen million, seven hundred seventy-two thousand, two hundred forty".