81246574080 has 480 divisors, whose sum is σ = 340504617024. Its totient is φ = 17477664768.

The previous prime is 81246574069. The next prime is 81246574081. The reversal of 81246574080 is 8047564218.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81246574081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2726944 + ... + 2756576.

Almost surely, 2^81246574080 is an apocalyptic number.

81246574080 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 81246574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170252308512).

81246574080 is an abundant number, since it is smaller than the sum of its proper divisors (259258042944).

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

81246574080 is a wasteful number, since it uses less digits than its factorization.

81246574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29686 (or 29667 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 81246574080 in words is "eighty-one billion, two hundred forty-six million, five hundred seventy-four thousand, eighty".