10742350788 has 96 divisors (see below), whose sum is σ = 30026572800. Its totient is φ = 3301627392.

The previous prime is 10742350783. The next prime is 10742350823. The reversal of 10742350788 is 88705324701.

10742350788 is a `hidden beast` number, since 107 + 423 + 50 + 78 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10742350783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1412845 + ... + 1420427.

It is an arithmetic number, because the mean of its divisors is an integer number (312776800).

Almost surely, 2^10742350788 is an apocalyptic number.

10742350788 is a gapful number since it is divisible by the number (18) 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 10742350788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15013286400).

10742350788 is an abundant number, since it is smaller than the sum of its proper divisors (19284222012).

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

10742350788 is a wasteful number, since it uses less digits than its factorization.

10742350788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8618 (or 8610 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10742350788 in words is "ten billion, seven hundred forty-two million, three hundred fifty thousand, seven hundred eighty-eight".