10735172352 has 504 divisors, whose sum is σ = 34905453408. Its totient is φ = 3284582400.

The previous prime is 10735172317. The next prime is 10735172369. The reversal of 10735172352 is 25327153701.

It is a happy number.

10735172352 is a `hidden beast` number, since 1 + 0 + 73 + 517 + 23 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 175986402 + ... + 175986462.

It is an arithmetic number, because the mean of its divisors is an integer number (69256852).

Almost surely, 2^10735172352 is an apocalyptic number.

10735172352 is a gapful number since it is divisible by the number (12) 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 10735172352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17452726704).

10735172352 is an abundant number, since it is smaller than the sum of its proper divisors (24170281056).

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

10735172352 is an frugal number, since it uses more digits than its factorization.

10735172352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 10735172352 in words is "ten billion, seven hundred thirty-five million, one hundred seventy-two thousand, three hundred fifty-two".