10151735748 has 96 divisors (see below), whose sum is σ = 29973285888. Its totient is φ = 2597443200.

The previous prime is 10151735647. The next prime is 10151735749. The reversal of 10151735748 is 84753715101.

It is a super-2 number, since 2×10151735748² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10151735749) 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, 20083 + ... + 143898.

It is an arithmetic number, because the mean of its divisors is an integer number (312221728).

Almost surely, 2^10151735748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10151735748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986642944).

10151735748 is an abundant number, since it is smaller than the sum of its proper divisors (19821550140).

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

10151735748 is a wasteful number, since it uses less digits than its factorization.

10151735748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164073 (or 164071 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 10151735748 in words is "ten billion, one hundred fifty-one million, seven hundred thirty-five thousand, seven hundred forty-eight".