35875799040 has 480 divisors, whose sum is σ = 125925940224. Its totient is φ = 8682209280.

The previous prime is 35875799021. The next prime is 35875799041. The reversal of 35875799040 is 4099757853.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35875799041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129515382 + ... + 129515658.

Almost surely, 2^35875799040 is an apocalyptic number.

35875799040 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 35875799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62962970112).

35875799040 is an abundant number, since it is smaller than the sum of its proper divisors (90050141184).

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

35875799040 is a wasteful number, since it uses less digits than its factorization.

35875799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 35875799040 in words is "thirty-five billion, eight hundred seventy-five million, seven hundred ninety-nine thousand, forty".