87074578053376 has 81 divisors (see below), whose sum is σ = 181701662210481. Its totient is φ = 41642721094656.

The previous prime is 87074578053373. The next prime is 87074578053403. The reversal of 87074578053376 is 67335087547078.

The square root of 87074578053376 is 9331376.

It is a perfect power (a square), and thus also a powerful number.

87074578053376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28101025081600 + 58973552971776 = 5301040^2 + 7679424^2 .

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87074578053373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3433933690 + ... + 3433959046.

Almost surely, 2^{87074578053376} is an apocalyptic number.

87074578053376 is the 9331376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87074578053376

87074578053376 is an abundant number, since it is smaller than the sum of its proper divisors (94627084157105).

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

87074578053376 is an frugal number, since it uses more digits than its factorization.

87074578053376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50776 (or 25382 counting only the distinct ones).

The product of its (nonzero) digits is 829785600, while the sum is 70.

The spelling of 87074578053376 in words is "eighty-seven trillion, seventy-four billion, five hundred seventy-eight million, fifty-three thousand, three hundred seventy-six".