81038688192 has 1344 divisors, whose sum is σ = 323788308480. Its totient is φ = 19483545600.

The previous prime is 81038688173. The next prime is 81038688239. The reversal of 81038688192 is 29188683018.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1373537059 + ... + 1373537117.

It is an arithmetic number, because the mean of its divisors is an integer number (240913920).

Almost surely, 2^81038688192 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 81038688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161894154240).

81038688192 is an abundant number, since it is smaller than the sum of its proper divisors (242749620288).

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

81038688192 is a wasteful number, since it uses less digits than its factorization.

81038688192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 81038688192 in words is "eighty-one billion, thirty-eight million, six hundred eighty-eight thousand, one hundred ninety-two".