84811559040 has 192 divisors, whose sum is σ = 315393263640. Its totient is φ = 20876673024.

The previous prime is 84811558981. The next prime is 84811559057. The reversal of 84811559040 is 4095511848.

It is a happy number.

84811559040 is a `hidden beast` number, since 8 + 4 + 8 + 1 + 15 + 590 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43868464704 + 40943094336 = 209448^2 + 202344^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491437 + ... + 641196.

Almost surely, 2^84811559040 is an apocalyptic number.

84811559040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84811559040 is an abundant number, since it is smaller than the sum of its proper divisors (230581704600).

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

84811559040 is a wasteful number, since it uses less digits than its factorization.

84811559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132671 (or 1132656 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 84811559040 in words is "eighty-four billion, eight hundred eleven million, five hundred fifty-nine thousand, forty".