35138297031552 has 320 divisors, whose sum is σ = 122852651589360. Its totient is φ = 9828893859840.

The previous prime is 35138297031547. The next prime is 35138297031571. The reversal of 35138297031552 is 25513079283153.

35138297031552 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 82 + 9 + 7 + 0 + 3 + 1 + 552 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367413 + ... + 13332660.

Almost surely, 2^{35138297031552} is an apocalyptic number.

35138297031552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35138297031552 is an abundant number, since it is smaller than the sum of its proper divisors (87714354557808).

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

35138297031552 is a wasteful number, since it uses less digits than its factorization.

35138297031552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23700123 (or 23700102 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 35138297031552 in words is "thirty-five trillion, one hundred thirty-eight billion, two hundred ninety-seven million, thirty-one thousand, five hundred fifty-two".