84905535936400 has 45 divisors (see below), whose sum is σ = 203985992841043. Its totient is φ = 33962140659200.

The previous prime is 84905535936379. The next prime is 84905535936413. The reversal of 84905535936400 is 463953550948.

The square root of 84905535936400 is 9214420.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4799026286224 + 80106509650176 = 2190668^2 + 8950224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 184058040 + ... + 184518760.

Almost surely, 2^{84905535936400} is an apocalyptic number.

84905535936400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84905535936400 is the 9214420-th square number.

It is an amenable number.

84905535936400 is an abundant number, since it is smaller than the sum of its proper divisors (119080456904643).

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

84905535936400 is an frugal number, since it uses more digits than its factorization.

84905535936400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921460 (or 460728 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 61.

The spelling of 84905535936400 in words is "eighty-four trillion, nine hundred five billion, five hundred thirty-five million, nine hundred thirty-six thousand, four hundred".