35425537056 has 576 divisors, whose sum is σ = 130503260160. Its totient is φ = 9266503680.

The previous prime is 35425537013. The next prime is 35425537073. The reversal of 35425537056 is 65073552453.

35425537056 is a `hidden beast` number, since 3 + 5 + 42 + 553 + 7 + 0 + 56 = 666.

It is a super-3 number, since 3×35425537056³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105120120 + ... + 105120456.

It is an arithmetic number, because the mean of its divisors is an integer number (226568160).

Almost surely, 2^35425537056 is an apocalyptic number.

35425537056 is a gapful number since it is divisible by the number (36) 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 35425537056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65251630080).

35425537056 is an abundant number, since it is smaller than the sum of its proper divisors (95077723104).

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

35425537056 is a wasteful number, since it uses less digits than its factorization.

35425537056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 35425537056 in words is "thirty-five billion, four hundred twenty-five million, five hundred thirty-seven thousand, fifty-six".