71069007052800 has 1152 divisors, whose sum is σ = 271173527898000. Its totient is φ = 18437615124480.

The previous prime is 71069007052781. The next prime is 71069007052819. The reversal of 71069007052800 is 825070096017.

It is an interprime number because it is at equal distance from previous prime (71069007052781) and next prime (71069007052819).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×71069007052800² (a number of 29 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 7365422376 + ... + 7365432024.

Almost surely, 2^{71069007052800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71069007052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135586763949000).

71069007052800 is an abundant number, since it is smaller than the sum of its proper divisors (200104520845200).

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

71069007052800 is an frugal number, since it uses more digits than its factorization.

71069007052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9741 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 71069007052800 in words is "seventy-one trillion, sixty-nine billion, seven million, fifty-two thousand, eight hundred".