84138055290 has 256 divisors, whose sum is σ = 247029834240. Its totient is φ = 20291420160.

The previous prime is 84138055277. The next prime is 84138055303. The reversal of 84138055290 is 9255083148.

84138055290 is a `hidden beast` number, since 8 + 4 + 1 + 3 + 8 + 0 + 552 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (84138055277) and next prime (84138055303).

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12605394 + ... + 12612066.

It is an arithmetic number, because the mean of its divisors is an integer number (964960290).

Almost surely, 2^84138055290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84138055290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123514917120).

84138055290 is an abundant number, since it is smaller than the sum of its proper divisors (162891778950).

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

84138055290 is a wasteful number, since it uses less digits than its factorization.

84138055290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 84138055290 in words is "eighty-four billion, one hundred thirty-eight million, fifty-five thousand, two hundred ninety".