71878553600 has 312 divisors, whose sum is σ = 205371304800. Its totient is φ = 24442306560.

The previous prime is 71878553563. The next prime is 71878553603. The reversal of 71878553600 is 635587817.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (71878553603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106802864 + ... + 106803536.

Almost surely, 2^71878553600 is an apocalyptic number.

71878553600 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 71878553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102685652400).

71878553600 is an abundant number, since it is smaller than the sum of its proper divisors (133492751200).

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

71878553600 is a wasteful number, since it uses less digits than its factorization.

71878553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 50.

The spelling of 71878553600 in words is "seventy-one billion, eight hundred seventy-eight million, five hundred fifty-three thousand, six hundred".