10751811840 has 1728 divisors, whose sum is σ = 52895711232. Its totient is φ = 1946419200.

The previous prime is 10751811821. The next prime is 10751811859. The reversal of 10751811840 is 4811815701.

It is an interprime number because it is at equal distance from previous prime (10751811821) and next prime (10751811859).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10751811795 and 10751811804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346832625 + ... + 346832655.

It is an arithmetic number, because the mean of its divisors is an integer number (30610944).

Almost surely, 2^10751811840 is an apocalyptic number.

10751811840 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 10751811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447855616).

10751811840 is an abundant number, since it is smaller than the sum of its proper divisors (42143899392).

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

10751811840 is a wasteful number, since it uses less digits than its factorization.

10751811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 10751811840 in words is "ten billion, seven hundred fifty-one million, eight hundred eleven thousand, eight hundred forty".