9953254080 has 560 divisors, whose sum is σ = 44150743296. Its totient is φ = 2067793920.

The previous prime is 9953254037. The next prime is 9953254081. The reversal of 9953254080 is 804523599.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is not an unprimeable number, because it can be changed into a prime (9953254081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1993347 + ... + 1998333.

Almost surely, 2^9953254080 is an apocalyptic number.

9953254080 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 9953254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22075371648).

9953254080 is an abundant number, since it is smaller than the sum of its proper divisors (34197489216).

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

9953254080 is a wasteful number, since it uses less digits than its factorization.

9953254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 9953254080 is about 99765.9966120722. The cubic root of 9953254080 is about 2151.0724110938.

The spelling of 9953254080 in words is "nine billion, nine hundred fifty-three million, two hundred fifty-four thousand, eighty".