35225573760 has 512 divisors, whose sum is σ = 135131068800. Its totient is φ = 8620867584.

The previous prime is 35225573759. The next prime is 35225573777. The reversal of 35225573760 is 6737552253.

35225573760 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 5 + 573 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52340784 + ... + 52341456.

Almost surely, 2^35225573760 is an apocalyptic number.

35225573760 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 35225573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67565534400).

35225573760 is an abundant number, since it is smaller than the sum of its proper divisors (99905495040).

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

35225573760 is a wasteful number, since it uses less digits than its factorization.

35225573760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 35225573760 in words is "thirty-five billion, two hundred twenty-five million, five hundred seventy-three thousand, seven hundred sixty".