84290645250 has 960 divisors, whose sum is σ = 306769731840. Its totient is φ = 17113420800.

The previous prime is 84290645227. The next prime is 84290645251. The reversal of 84290645250 is 5254609248.

It is a super-2 number, since 2×84290645250² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 84290645196 and 84290645205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84290645251) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 320496619 + ... + 320496881.

It is an arithmetic number, because the mean of its divisors is an integer number (319551804).

Almost surely, 2^84290645250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84290645250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153384865920).

84290645250 is an abundant number, since it is smaller than the sum of its proper divisors (222479086590).

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

84290645250 is a wasteful number, since it uses less digits than its factorization.

84290645250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 84290645250 in words is "eighty-four billion, two hundred ninety million, six hundred forty-five thousand, two hundred fifty".