71711387078400 has 864 divisors, whose sum is σ = 266440383599040. Its totient is φ = 19106117222400.

The previous prime is 71711387078377. The next prime is 71711387078413. The reversal of 71711387078400 is 487078311717.

71711387078400 is a `hidden beast` number, since 7 + 1 + 71 + 1 + 38 + 70 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×71711387078400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29967147604 + ... + 29967149996.

It is an arithmetic number, because the mean of its divisors is an integer number (308380073610).

Almost surely, 2^{71711387078400} 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 71711387078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133220191799520).

71711387078400 is an abundant number, since it is smaller than the sum of its proper divisors (194728996520640).

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

71711387078400 is an equidigital number, since it uses as much as digits as its factorization.

71711387078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 54.

The spelling of 71711387078400 in words is "seventy-one trillion, seven hundred eleven billion, three hundred eighty-seven million, seventy-eight thousand, four hundred".