9901735488 has 140 divisors (see below), whose sum is σ = 29627821872. Its totient is φ = 3269548800.

The previous prime is 9901735469. The next prime is 9901735489. The reversal of 9901735488 is 8845371099.

9901735488 is a `hidden beast` number, since 9 + 90 + 1 + 7 + 3 + 548 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9901735489) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 545763 + ... + 563613.

Almost surely, 2^9901735488 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 9901735488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813910936).

9901735488 is an abundant number, since it is smaller than the sum of its proper divisors (19726086384).

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

9901735488 is a wasteful number, since it uses less digits than its factorization.

9901735488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17982 (or 17963 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 9901735488 is about 99507.4644838265. The cubic root of 9901735488 is about 2147.3546327470.

The spelling of 9901735488 in words is "nine billion, nine hundred one million, seven hundred thirty-five thousand, four hundred eighty-eight".