35972482560 has 320 divisors, whose sum is σ = 132147113472. Its totient is φ = 8177319936.

The previous prime is 35972482519. The next prime is 35972482597. The reversal of 35972482560 is 6528427953.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10373947 + ... + 10377413.

Almost surely, 2^35972482560 is an apocalyptic number.

35972482560 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 35972482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66073556736).

35972482560 is an abundant number, since it is smaller than the sum of its proper divisors (96174630912).

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

35972482560 is a wasteful number, since it uses less digits than its factorization.

35972482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 35972482560 in words is "thirty-five billion, nine hundred seventy-two million, four hundred eighty-two thousand, five hundred sixty".