35138040833952 has 3072 divisors, whose sum is σ = 139227011481600. Its totient is φ = 8389480366080.

The previous prime is 35138040833867. The next prime is 35138040833957. The reversal of 35138040833952 is 25933804083153.

35138040833952 is a `hidden beast` number, since 3 + 5 + 138 + 0 + 40 + 83 + 395 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (35138040833957) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 203110062538 + ... + 203110062710.

It is an arithmetic number, because the mean of its divisors is an integer number (45321292800).

Almost surely, 2^{35138040833952} is an apocalyptic number.

35138040833952 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 35138040833952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69613505740800).

35138040833952 is an abundant number, since it is smaller than the sum of its proper divisors (104088970647648).

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

35138040833952 is a wasteful number, since it uses less digits than its factorization.

35138040833952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 35138040833952 in words is "thirty-five trillion, one hundred thirty-eight billion, forty million, eight hundred thirty-three thousand, nine hundred fifty-two".