34545020590080 has 6144 divisors, whose sum is σ = 176765873356800. Its totient is φ = 6243334225920.

The previous prime is 34545020590051. The next prime is 34545020590097. The reversal of 34545020590080 is 8009502054543.

34545020590080 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 50 + 2 + 0 + 590 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 515597322207 + ... + 515597322273.

It is an arithmetic number, because the mean of its divisors is an integer number (28770487200).

Almost surely, 2^{34545020590080} is an apocalyptic number.

34545020590080 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 34545020590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88382936678400).

34545020590080 is an abundant number, since it is smaller than the sum of its proper divisors (142220852766720).

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

34545020590080 is a wasteful number, since it uses less digits than its factorization.

34545020590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 34545020590080 in words is "thirty-four trillion, five hundred forty-five billion, twenty million, five hundred ninety thousand, eighty".