71086402850400 has 1152 divisors, whose sum is σ = 303704611660800. Its totient is φ = 15710953881600.

The previous prime is 71086402850371. The next prime is 71086402850423. The reversal of 71086402850400 is 405820468017.

71086402850400 is a `hidden beast` number, since 7 + 1 + 0 + 86 + 40 + 28 + 504 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 544103484 + ... + 544234116.

It is an arithmetic number, because the mean of its divisors is an integer number (263632475400).

Almost surely, 2^{71086402850400} is an apocalyptic number.

71086402850400 is a gapful number since it is divisible by the number (70) 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 71086402850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151852305830400).

71086402850400 is an abundant number, since it is smaller than the sum of its proper divisors (232618208810400).

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

71086402850400 is a wasteful number, since it uses less digits than its factorization.

71086402850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130789 (or 130770 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 71086402850400 in words is "seventy-one trillion, eighty-six billion, four hundred two million, eight hundred fifty thousand, four hundred".