9852315480 has 384 divisors, whose sum is σ = 38696486400. Its totient is φ = 2123698176.

The previous prime is 9852315479. The next prime is 9852315491. The reversal of 9852315480 is 845132589.

9852315480 is a `hidden beast` number, since 9 + 85 + 23 + 1 + 548 + 0 = 666.

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

It is a congruent number.

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, 16614064 + ... + 16614656.

It is an arithmetic number, because the mean of its divisors is an integer number (100772100).

Almost surely, 2^9852315480 is an apocalyptic number.

9852315480 is a gapful number since it is divisible by the number (90) 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 9852315480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19348243200).

9852315480 is an abundant number, since it is smaller than the sum of its proper divisors (28844170920).

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

9852315480 is a wasteful number, since it uses less digits than its factorization.

9852315480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 976 counting only the distinct ones).

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

The square root of 9852315480 is about 99258.8307406449. The cubic root of 9852315480 is about 2143.7761581069.

It can be divided in two parts, 98523 and 15480, that added together give a triangular number (114003 = T₄₇₇).

The spelling of 9852315480 in words is "nine billion, eight hundred fifty-two million, three hundred fifteen thousand, four hundred eighty".