10757212740 has 144 divisors (see below), whose sum is σ = 34586501040. Its totient is φ = 2696970240.

The previous prime is 10757212733. The next prime is 10757212771. The reversal of 10757212740 is 4721275701.

10757212740 is a `hidden beast` number, since 1 + 0 + 7 + 572 + 12 + 74 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 993006144 + 9764206596 = 31512^2 + 98814^2 .

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 = 10757212695 and 10757212704.

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 47 ways as a sum of consecutive naturals, for example, 5693716 + ... + 5695604.

It is an arithmetic number, because the mean of its divisors is an integer number (240184035).

Almost surely, 2^10757212740 is an apocalyptic number.

10757212740 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 10757212740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293250520).

10757212740 is an abundant number, since it is smaller than the sum of its proper divisors (23829288300).

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

10757212740 is a wasteful number, since it uses less digits than its factorization.

10757212740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 10757212740 in words is "ten billion, seven hundred fifty-seven million, two hundred twelve thousand, seven hundred forty".