24161253480 has 960 divisors, whose sum is σ = 105951162240. Its totient is φ = 4808180736.

The previous prime is 24161253409. The next prime is 24161253491. The reversal of 24161253480 is 8435216142.

It is a happy number.

24161253480 is a `hidden beast` number, since 2 + 4 + 1 + 612 + 5 + 34 + 8 + 0 = 666.

It is a super-2 number, since 2×24161253480² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 106437127 + ... + 106437353.

It is an arithmetic number, because the mean of its divisors is an integer number (110365794).

Almost surely, 2^24161253480 is an apocalyptic number.

24161253480 is a gapful number since it is divisible by the number (20) 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 24161253480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52975581120).

24161253480 is an abundant number, since it is smaller than the sum of its proper divisors (81789908760).

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

24161253480 is a wasteful number, since it uses less digits than its factorization.

24161253480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 24161253480 in words is "twenty-four billion, one hundred sixty-one million, two hundred fifty-three thousand, four hundred eighty".