71261488972800 has 5280 divisors, whose sum is σ = 332115215646720. Its totient is φ = 14748372172800.

The previous prime is 71261488972781. The next prime is 71261488972837. The reversal of 71261488972800 is 827988416217.

71261488972800 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 1 + 488 + 9 + 72 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 561114086337 + ... + 561114086463.

It is an arithmetic number, because the mean of its divisors is an integer number (62900609024).

Almost surely, 2^{71261488972800} is an apocalyptic number.

71261488972800 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 71261488972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166057607823360).

71261488972800 is an abundant number, since it is smaller than the sum of its proper divisors (260853726673920).

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

71261488972800 is a wasteful number, since it uses less digits than its factorization.

71261488972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 71261488972800 in words is "seventy-one trillion, two hundred sixty-one billion, four hundred eighty-eight million, nine hundred seventy-two thousand, eight hundred".