10782178290 has 96 divisors (see below), whose sum is σ = 30365178480. Its totient is φ = 2638683648.

The previous prime is 10782178271. The next prime is 10782178313. The reversal of 10782178290 is 9287128701.

It can be written as a sum of positive squares in 8 ways, for example, as 2578709961 + 8203468329 = 50781^2 + 90573^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175776 + ... + 229044.

Almost surely, 2^10782178290 is an apocalyptic number.

10782178290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10782178290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182589240).

10782178290 is an abundant number, since it is smaller than the sum of its proper divisors (19583000190).

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

10782178290 is a wasteful number, since it uses less digits than its factorization.

10782178290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53468 (or 53465 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 10782178290 in words is "ten billion, seven hundred eighty-two million, one hundred seventy-eight thousand, two hundred ninety".