34135027750080 has 560 divisors, whose sum is σ = 124475129707104. Its totient is φ = 8876076318720.

The previous prime is 34135027750073. The next prime is 34135027750169. The reversal of 34135027750080 is 8005772053143.

34135027750080 is a `hidden beast` number, since 3 + 4 + 13 + 50 + 2 + 7 + 7 + 500 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 223846660 + ... + 223999100.

Almost surely, 2^{34135027750080} is an apocalyptic number.

34135027750080 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 34135027750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62237564853552).

34135027750080 is an abundant number, since it is smaller than the sum of its proper divisors (90340101957024).

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

34135027750080 is a wasteful number, since it uses less digits than its factorization.

34135027750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152686 (or 152667 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 34135027750080 in words is "thirty-four trillion, one hundred thirty-five billion, twenty-seven million, seven hundred fifty thousand, eighty".