71824880634552 has 48 divisors (see below), whose sum is σ = 194565507786000. Its totient is φ = 23936729721216.

The previous prime is 71824880634469. The next prime is 71824880634553. The reversal of 71824880634552 is 25543608842817.

71824880634552 is a `hidden beast` number, since 7 + 1 + 8 + 2 + 48 + 8 + 0 + 6 + 34 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71824880634552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71824880634553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101669652 + ... + 102373667.

It is an arithmetic number, because the mean of its divisors is an integer number (4053448078875).

Almost surely, 2^{71824880634552} is an apocalyptic number.

71824880634552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71824880634552 is an abundant number, since it is smaller than the sum of its proper divisors (122740627151448).

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

71824880634552 is a wasteful number, since it uses less digits than its factorization.

71824880634552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204048220 (or 204048213 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 71824880634552 in words is "seventy-one trillion, eight hundred twenty-four billion, eight hundred eighty million, six hundred thirty-four thousand, five hundred fifty-two".