1215153550400 has 168 divisors, whose sum is σ = 3006064665024. Its totient is φ = 483462604800.

The previous prime is 1215153550349. The next prime is 1215153550409. The reversal of 1215153550400 is 40553515121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1215153550409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285714674 + ... + 285718926.

Almost surely, 2^{1215153550400} is an apocalyptic number.

1215153550400 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 1215153550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503032332512).

1215153550400 is an abundant number, since it is smaller than the sum of its proper divisors (1790911114624).

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

1215153550400 is a wasteful number, since it uses less digits than its factorization.

1215153550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 1215153550400 in words is "one trillion, two hundred fifteen billion, one hundred fifty-three million, five hundred fifty thousand, four hundred".