84822924023040 has 1152 divisors, whose sum is σ = 325362876088320. Its totient is φ = 18429345792000.

The previous prime is 84822924023029. The next prime is 84822924023059. The reversal of 84822924023040 is 4032042922848.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11861683465 + ... + 11861690615.

It is an arithmetic number, because the mean of its divisors is an integer number (282433052160).

Almost surely, 2^{84822924023040} is an apocalyptic number.

84822924023040 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 84822924023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162681438044160).

84822924023040 is an abundant number, since it is smaller than the sum of its proper divisors (240539952065280).

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

84822924023040 is a wasteful number, since it uses less digits than its factorization.

84822924023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7499 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

Adding to 84822924023040 its reverse (4032042922848), we get a palindrome (88854966945888).

The spelling of 84822924023040 in words is "eighty-four trillion, eight hundred twenty-two billion, nine hundred twenty-four million, twenty-three thousand, forty".