80925101460 has 384 divisors, whose sum is σ = 298355097600. Its totient is φ = 17817408000.

The previous prime is 80925101459. The next prime is 80925101461. The reversal of 80925101460 is 6410152908.

80925101460 is a `hidden beast` number, since 8 + 0 + 92 + 5 + 101 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (80925101459) and next prime (80925101461).

It is a super-2 number, since 2×80925101460² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80925101461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82324129 + ... + 82325111.

It is an arithmetic number, because the mean of its divisors is an integer number (776966400).

Almost surely, 2^80925101460 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 80925101460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149177548800).

80925101460 is an abundant number, since it is smaller than the sum of its proper divisors (217429996140).

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

80925101460 is a wasteful number, since it uses less digits than its factorization.

80925101460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 80925101460 in words is "eighty billion, nine hundred twenty-five million, one hundred one thousand, four hundred sixty".