82154966040 has 576 divisors, whose sum is σ = 324219036960. Its totient is φ = 18654935040.

The previous prime is 82154966011. The next prime is 82154966051. The reversal of 82154966040 is 4066945128.

82154966040 is a `hidden beast` number, since 8 + 2 + 1 + 549 + 6 + 60 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86206204 + ... + 86207156.

Almost surely, 2^82154966040 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 82154966040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162109518480).

82154966040 is an abundant number, since it is smaller than the sum of its proper divisors (242064070920).

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

82154966040 is a wasteful number, since it uses less digits than its factorization.

82154966040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 82154966040 in words is "eighty-two billion, one hundred fifty-four million, nine hundred sixty-six thousand, forty".