81214277760 has 1536 divisors, whose sum is σ = 370049472000. Its totient is φ = 16257024000.

The previous prime is 81214277759. The next prime is 81214277761. The reversal of 81214277760 is 6777241218.

81214277760 is a `hidden beast` number, since 81 + 21 + 427 + 77 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (81214277759) and next prime (81214277761).

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 (81214277761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 804101710 + ... + 804101810.

It is an arithmetic number, because the mean of its divisors is an integer number (240917625).

Almost surely, 2^81214277760 is an apocalyptic number.

81214277760 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 81214277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185024736000).

81214277760 is an abundant number, since it is smaller than the sum of its proper divisors (288835194240).

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

81214277760 is a wasteful number, since it uses less digits than its factorization.

81214277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 81214277760 in words is "eighty-one billion, two hundred fourteen million, two hundred seventy-seven thousand, seven hundred sixty".