81552954600 has 480 divisors, whose sum is σ = 306176575320. Its totient is φ = 19999457280.

The previous prime is 81552954547. The next prime is 81552954607. The reversal of 81552954600 is 645925518.

81552954600 is a `hidden beast` number, since 8 + 1 + 552 + 95 + 4 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 864007236 + 80688947364 = 29394^2 + 284058^2 .

It is a super-2 number, since 2×81552954600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (81552954607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74341252 + ... + 74342348.

Almost surely, 2^81552954600 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 81552954600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153088287660).

81552954600 is an abundant number, since it is smaller than the sum of its proper divisors (224623620720).

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

81552954600 is a wasteful number, since it uses less digits than its factorization.

81552954600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 81552954600 in words is "eighty-one billion, five hundred fifty-two million, nine hundred fifty-four thousand, six hundred".