153585482400 has 1296 divisors, whose sum is σ = 672093858240. Its totient is φ = 33747840000.

The previous prime is 153585482381. The next prime is 153585482419. The reversal of 153585482400 is 4284585351.

153585482400 is a `hidden beast` number, since 1 + 5 + 3 + 585 + 48 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (153585482381) and next prime (153585482419).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1017122325 + ... + 1017122475.

It is an arithmetic number, because the mean of its divisors is an integer number (518590940).

Almost surely, 2^153585482400 is an apocalyptic number.

153585482400 is a gapful number since it is divisible by the number (10) 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 153585482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336046929120).

153585482400 is an abundant number, since it is smaller than the sum of its proper divisors (518508375840).

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

153585482400 is a wasteful number, since it uses less digits than its factorization.

153585482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 153585482400 in words is "one hundred fifty-three billion, five hundred eighty-five million, four hundred eighty-two thousand, four hundred".