81626875545600 has 4608 divisors, whose sum is σ = 399646420992000. Its totient is φ = 15829696512000.

The previous prime is 81626875545547. The next prime is 81626875545613. The reversal of 81626875545600 is 654557862618.

81626875545600 is a `hidden beast` number, since 8 + 1 + 6 + 2 + 6 + 87 + 5 + 545 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×81626875545600² (a number of 29 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 95693874774 + ... + 95693875626.

It is an arithmetic number, because the mean of its divisors is an integer number (86728824000).

Almost surely, 2^{81626875545600} is an apocalyptic number.

81626875545600 is a gapful number since it is divisible by the number (80) 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 81626875545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199823210496000).

81626875545600 is an abundant number, since it is smaller than the sum of its proper divisors (318019545446400).

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

81626875545600 is a wasteful number, since it uses less digits than its factorization.

81626875545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 81626875545600 in words is "eighty-one trillion, six hundred twenty-six billion, eight hundred seventy-five million, five hundred forty-five thousand, six hundred".