84529121040 has 480 divisors, whose sum is σ = 360666249216. Its totient is φ = 17258987520.

The previous prime is 84529121023. The next prime is 84529121057. The reversal of 84529121040 is 4012192548.

84529121040 is a `hidden beast` number, since 8 + 4 + 529 + 121 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84529121023) and next prime (84529121057).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84529120986 and 84529121004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2010312 + ... + 2051928.

Almost surely, 2^84529121040 is an apocalyptic number.

84529121040 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 84529121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180333124608).

84529121040 is an abundant number, since it is smaller than the sum of its proper divisors (276137128176).

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

84529121040 is a wasteful number, since it uses less digits than its factorization.

84529121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41687 (or 41678 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 84529121040 in words is "eighty-four billion, five hundred twenty-nine million, one hundred twenty-one thousand, forty".