84553035840 has 1176 divisors, whose sum is σ = 378837428760. Its totient is φ = 17808408576.

The previous prime is 84553035829. The next prime is 84553035863. The reversal of 84553035840 is 4853035548.

84553035840 is a `hidden beast` number, since 8 + 4 + 5 + 530 + 35 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 276623424 + 84276412416 = 16632^2 + 290304^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 148599076 + ... + 148599644.

Almost surely, 2^84553035840 is an apocalyptic number.

84553035840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84553035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189418714380).

84553035840 is an abundant number, since it is smaller than the sum of its proper divisors (294284392920).

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

84553035840 is a wasteful number, since it uses less digits than its factorization.

84553035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 84553035840 in words is "eighty-four billion, five hundred fifty-three million, thirty-five thousand, eight hundred forty".