10781035348000 has 48 divisors (see below), whose sum is σ = 26489003859864. Its totient is φ = 4312414137600.

The previous prime is 10781035347949. The next prime is 10781035348043. The reversal of 10781035348000 is 84353018701.

It can be written as a sum of positive squares in 4 ways, for example, as 1241165333776 + 9539870014224 = 1114076^2 + 3088668^2 .

It is a super-2 number, since 2×10781035348000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1347625419 + ... + 1347633418.

Almost surely, 2^{10781035348000} is an apocalyptic number.

10781035348000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10781035348000 is an abundant number, since it is smaller than the sum of its proper divisors (15707968511864).

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

10781035348000 is an equidigital number, since it uses as much as digits as its factorization.

10781035348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695258862 (or 2695258844 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 10781035348000 in words is "ten trillion, seven hundred eighty-one billion, thirty-five million, three hundred forty-eight thousand".