81658675200 has 384 divisors, whose sum is σ = 273045024000. Its totient is φ = 21532508160.

The previous prime is 81658675181. The next prime is 81658675207. The reversal of 81658675200 is 257685618.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 81658675200.

It is not an unprimeable number, because it can be changed into a prime (81658675207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366182289 + ... + 366182511.

It is an arithmetic number, because the mean of its divisors is an integer number (711054750).

Almost surely, 2^81658675200 is an apocalyptic number.

81658675200 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 81658675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136522512000).

81658675200 is an abundant number, since it is smaller than the sum of its proper divisors (191386348800).

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

81658675200 is a wasteful number, since it uses less digits than its factorization.

81658675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 81658675200 in words is "eighty-one billion, six hundred fifty-eight million, six hundred seventy-five thousand, two hundred".