35093137152 has 72 divisors (see below), whose sum is σ = 93616508160. Its totient is φ = 11670461440.

The previous prime is 35093137091. The next prime is 35093137159. The reversal of 35093137152 is 25173139053.

It is a super-2 number, since 2×35093137152² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35093137152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35093137159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277999 + ... + 384017.

It is an arithmetic number, because the mean of its divisors is an integer number (1300229280).

Almost surely, 2^35093137152 is an apocalyptic number.

35093137152 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 35093137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46808254080).

35093137152 is an abundant number, since it is smaller than the sum of its proper divisors (58523371008).

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

35093137152 is a wasteful number, since it uses less digits than its factorization.

35093137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106469 (or 106455 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The spelling of 35093137152 in words is "thirty-five billion, ninety-three million, one hundred thirty-seven thousand, one hundred fifty-two".