34578553605120 has 880 divisors, whose sum is σ = 141705751173888. Its totient is φ = 7898405437440.

The previous prime is 34578553605109. The next prime is 34578553605229. The reversal of 34578553605120 is 2150635587543.

34578553605120 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 8 + 5 + 5 + 3 + 605 + 1 + 20 = 666.

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

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, 5838010479 + ... + 5838016401.

Almost surely, 2^{34578553605120} is an apocalyptic number.

34578553605120 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 34578553605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70852875586944).

34578553605120 is an abundant number, since it is smaller than the sum of its proper divisors (107127197568768).

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

34578553605120 is a wasteful number, since it uses less digits than its factorization.

34578553605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978 (or 7951 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 34578553605120 in words is "thirty-four trillion, five hundred seventy-eight billion, five hundred fifty-three million, six hundred five thousand, one hundred twenty".