35903575040 has 132 divisors (see below), whose sum is σ = 89006597748. Its totient is φ = 13896253440.

The previous prime is 35903575027. The next prime is 35903575049. The reversal of 35903575040 is 4057530953.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12565513216 + 23338061824 = 112096^2 + 152768^2 .

It is a super-2 number, since 2×35903575040² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35903575049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4916672 + ... + 4923968.

Almost surely, 2^35903575040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35903575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44503298874).

35903575040 is an abundant number, since it is smaller than the sum of its proper divisors (53103022708).

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

35903575040 is an equidigital number, since it uses as much as digits as its factorization.

35903575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 41.

The spelling of 35903575040 in words is "thirty-five billion, nine hundred three million, five hundred seventy-five thousand, forty".