87277458040344 has 384 divisors, whose sum is σ = 292371772492800. Its totient is φ = 23124019968000.

The previous prime is 87277458040337. The next prime is 87277458040373. The reversal of 87277458040344 is 44304085477278.

87277458040344 is a `hidden beast` number, since 8 + 7 + 2 + 7 + 7 + 4 + 580 + 4 + 0 + 3 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1117169604 + ... + 1117247724.

It is an arithmetic number, because the mean of its divisors is an integer number (761384824200).

Almost surely, 2^{87277458040344} 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 87277458040344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146185886246400).

87277458040344 is an abundant number, since it is smaller than the sum of its proper divisors (205094314452456).

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

87277458040344 is a wasteful number, since it uses less digits than its factorization.

87277458040344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83887 (or 83880 counting only the distinct ones).

The product of its (nonzero) digits is 168591360, while the sum is 63.

The spelling of 87277458040344 in words is "eighty-seven trillion, two hundred seventy-seven billion, four hundred fifty-eight million, forty thousand, three hundred forty-four".