35882125655040 has 528 divisors, whose sum is σ = 146991917292480. Its totient is φ = 7918811873280.

The previous prime is 35882125654993. The next prime is 35882125655063. The reversal of 35882125655040 is 4055652128853.

35882125655040 is a `hidden beast` number, since 3 + 5 + 8 + 8 + 2 + 125 + 6 + 5 + 504 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7436280 + ... + 11272200.

Almost surely, 2^{35882125655040} is an apocalyptic number.

35882125655040 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 35882125655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73495958646240).

35882125655040 is an abundant number, since it is smaller than the sum of its proper divisors (111109791637440).

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

35882125655040 is a wasteful number, since it uses less digits than its factorization.

35882125655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835988 (or 3835967 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 35882125655040 in words is "thirty-five trillion, eight hundred eighty-two billion, one hundred twenty-five million, six hundred fifty-five thousand, forty".