81001936600 has 288 divisors, whose sum is σ = 219561438240. Its totient is φ = 27675648000.

The previous prime is 81001936577. The next prime is 81001936621. The reversal of 81001936600 is 663910018.

It is a super-2 number, since 2×81001936600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35049445 + ... + 35051755.

It is an arithmetic number, because the mean of its divisors is an integer number (762366105).

Almost surely, 2^81001936600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81001936600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109780719120).

81001936600 is an abundant number, since it is smaller than the sum of its proper divisors (138559501640).

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

81001936600 is a wasteful number, since it uses less digits than its factorization.

81001936600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 81001936600 in words is "eighty-one billion, one million, nine hundred thirty-six thousand, six hundred".