71268993020106 has 128 divisors (see below), whose sum is σ = 183968061235200. Its totient is φ = 20030038680960.

The previous prime is 71268993020089. The next prime is 71268993020123. The reversal of 71268993020106 is 60102039986217.

71268993020106 is a `hidden beast` number, since 71 + 268 + 9 + 9 + 302 + 0 + 1 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (71268993020089) and next prime (71268993020123).

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8757366 + ... + 14806398.

It is an arithmetic number, because the mean of its divisors is an integer number (1437250478400).

Almost surely, 2^{71268993020106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71268993020106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91984030617600).

71268993020106 is an abundant number, since it is smaller than the sum of its proper divisors (112699068215094).

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

71268993020106 is a wasteful number, since it uses less digits than its factorization.

71268993020106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6049561 (or 6049555 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 71268993020106 in words is "seventy-one trillion, two hundred sixty-eight billion, nine hundred ninety-three million, twenty thousand, one hundred six".