10246608762240 has 128 divisors (see below), whose sum is σ = 32669277631200. Its totient is φ = 2731741970432.

The previous prime is 10246608762149. The next prime is 10246608762277. The reversal of 10246608762240 is 4226780664201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10246608762240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10246608762240.

It is a congruent number.

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, 6989944 + ... + 8327816.

Almost surely, 2^{10246608762240} is an apocalyptic number.

10246608762240 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 10246608762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16334638815600).

10246608762240 is an abundant number, since it is smaller than the sum of its proper divisors (22422668868960).

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

10246608762240 is a wasteful number, since it uses less digits than its factorization.

10246608762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341884 (or 1341872 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 10246608762240 in words is "ten trillion, two hundred forty-six billion, six hundred eight million, seven hundred sixty-two thousand, two hundred forty".