1215345254400 has 504 divisors, whose sum is σ = 4514791883784. Its totient is φ = 324078796800.

The previous prime is 1215345254399. The next prime is 1215345254401. The reversal of 1215345254400 is 44525435121.

1215345254400 is a `hidden beast` number, since 1 + 2 + 153 + 4 + 52 + 54 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1215345254399) and next prime (1215345254401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215345254401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49754190 + ... + 49778610.

Almost surely, 2^{1215345254400} is an apocalyptic number.

1215345254400 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 1215345254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257395941892).

1215345254400 is an abundant number, since it is smaller than the sum of its proper divisors (3299446629384).

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

1215345254400 is an frugal number, since it uses more digits than its factorization.

1215345254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24472 (or 24431 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1215345254400 in words is "one trillion, two hundred fifteen billion, three hundred forty-five million, two hundred fifty-four thousand, four hundred".