82677351475440 has 160 divisors (see below), whose sum is σ = 291400277879040. Its totient is φ = 21534565941504.

The previous prime is 82677351475357. The next prime is 82677351475501. The reversal of 82677351475440 is 4457415377628.

82677351475440 is a `hidden beast` number, since 8 + 2 + 6 + 7 + 7 + 3 + 514 + 75 + 4 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444983302 + ... + 445169061.

It is an arithmetic number, because the mean of its divisors is an integer number (1821251736744).

Almost surely, 2^{82677351475440} is an apocalyptic number.

82677351475440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82677351475440 is an abundant number, since it is smaller than the sum of its proper divisors (208722926403600).

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

82677351475440 is a wasteful number, since it uses less digits than its factorization.

82677351475440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890152428 (or 890152416 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 63.

The spelling of 82677351475440 in words is "eighty-two trillion, six hundred seventy-seven billion, three hundred fifty-one million, four hundred seventy-five thousand, four hundred forty".