35138911036992 has 336 divisors, whose sum is σ = 114315417881280. Its totient is φ = 9471806668800.

The previous prime is 35138911036991. The next prime is 35138911037057. The reversal of 35138911036992 is 29963011983153.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (35138911036991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42671392 + ... + 43487072.

It is an arithmetic number, because the mean of its divisors is an integer number (340224457980).

Almost surely, 2^{35138911036992} is an apocalyptic number.

35138911036992 is a gapful number since it is divisible by the number (32) 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 35138911036992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57157708940640).

35138911036992 is an abundant number, since it is smaller than the sum of its proper divisors (79176506844288).

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

35138911036992 is a wasteful number, since it uses less digits than its factorization.

35138911036992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815970 (or 815953 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 60.

The spelling of 35138911036992 in words is "thirty-five trillion, one hundred thirty-eight billion, nine hundred eleven million, thirty-six thousand, nine hundred ninety-two".