71276861250 has 800 divisors, whose sum is σ = 246761011200. Its totient is φ = 15011568000.

The previous prime is 71276861237. The next prime is 71276861303. The reversal of 71276861250 is 5216867217.

71276861250 is a `hidden beast` number, since 7 + 1 + 27 + 6 + 8 + 612 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 71276861196 and 71276861205.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 902238711 + ... + 902238789.

It is an arithmetic number, because the mean of its divisors is an integer number (308451264).

Almost surely, 2^71276861250 is an apocalyptic number.

71276861250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71276861250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123380505600).

71276861250 is an abundant number, since it is smaller than the sum of its proper divisors (175484149950).

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

71276861250 is a wasteful number, since it uses less digits than its factorization.

71276861250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 71276861250 in words is "seventy-one billion, two hundred seventy-six million, eight hundred sixty-one thousand, two hundred fifty".