35232252480 has 560 divisors, whose sum is σ = 136349055216. Its totient is φ = 8599633920.

The previous prime is 35232252469. The next prime is 35232252521. The reversal of 35232252480 is 8425223253.

35232252480 is a `hidden beast` number, since 3 + 52 + 3 + 2 + 2 + 524 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4570841664 + 30661410816 = 67608^2 + 175104^2 .

It is a super-2 number, since 2×35232252480² (a number of 22 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 16302600 + ... + 16304760.

Almost surely, 2^35232252480 is an apocalyptic number.

35232252480 is a gapful number since it is divisible by the number (30) 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 35232252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68174527608).

35232252480 is an abundant number, since it is smaller than the sum of its proper divisors (101116802736).

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

35232252480 is a wasteful number, since it uses less digits than its factorization.

35232252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 35232252480 in words is "thirty-five billion, two hundred thirty-two million, two hundred fifty-two thousand, four hundred eighty".