71207492428800 has 7920 divisors, whose sum is σ = 357637137758208. Its totient is φ = 13845410611200.

The previous prime is 71207492428783. The next prime is 71207492428889. The reversal of 71207492428800 is 882429470217.

71207492428800 is a `hidden beast` number, since 7 + 1 + 207 + 4 + 9 + 2 + 428 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1515053030377 + ... + 1515053030423.

Almost surely, 2^{71207492428800} is an apocalyptic number.

71207492428800 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 71207492428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178818568879104).

71207492428800 is an abundant number, since it is smaller than the sum of its proper divisors (286429645329408).

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

71207492428800 is a wasteful number, since it uses less digits than its factorization.

71207492428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 71207492428800 in words is "seventy-one trillion, two hundred seven billion, four hundred ninety-two million, four hundred twenty-eight thousand, eight hundred".