153415449600 has 528 divisors, whose sum is σ = 583991217408. Its totient is φ = 34793717760.

The previous prime is 153415449541. The next prime is 153415449619. The reversal of 153415449600 is 6944514351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73650159 + ... + 73652241.

Almost surely, 2^153415449600 is an apocalyptic number.

153415449600 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 153415449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291995608704).

153415449600 is an abundant number, since it is smaller than the sum of its proper divisors (430575767808).

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

153415449600 is a wasteful number, since it uses less digits than its factorization.

153415449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 153415449600 in words is "one hundred fifty-three billion, four hundred fifteen million, four hundred forty-nine thousand, six hundred".