81537046290 has 384 divisors, whose sum is σ = 252703825920. Its totient is φ = 17858880000.

The previous prime is 81537046271. The next prime is 81537046301. The reversal of 81537046290 is 9264073518.

81537046290 is a `hidden beast` number, since 8 + 15 + 3 + 7 + 0 + 4 + 629 + 0 = 666.

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

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, 324848665 + ... + 324848915.

It is an arithmetic number, because the mean of its divisors is an integer number (658082880).

It is a 2-persistent number, because it is pandigital, and so is 2⋅81537046290 = 163074092580, but 3⋅81537046290 = 244611138870 is not.

Almost surely, 2^81537046290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81537046290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126351912960).

81537046290 is an abundant number, since it is smaller than the sum of its proper divisors (171166779630).

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

81537046290 is a wasteful number, since it uses less digits than its factorization.

81537046290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 81537046290 in words is "eighty-one billion, five hundred thirty-seven million, forty-six thousand, two hundred ninety".