10034695353480 has 256 divisors, whose sum is σ = 35193143623680. Its totient is φ = 2241618914304.

The previous prime is 10034695353451. The next prime is 10034695353497. The reversal of 10034695353480 is 8435359643001.

It is a happy number.

It is a super-2 number, since 2×10034695353480² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6445594 + ... + 7849526.

It is an arithmetic number, because the mean of its divisors is an integer number (137473217280).

Almost surely, 2^{10034695353480} is an apocalyptic number.

10034695353480 is a gapful number since it is divisible by the number (10) 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 10034695353480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17596571811840).

10034695353480 is an abundant number, since it is smaller than the sum of its proper divisors (25158448270200).

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

10034695353480 is a wasteful number, since it uses less digits than its factorization.

10034695353480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404148 (or 1404144 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 10034695353480 in words is "ten trillion, thirty-four billion, six hundred ninety-five million, three hundred fifty-three thousand, four hundred eighty".