1215485825400 has 1728 divisors, whose sum is σ = 5668287206400. Its totient is φ = 227264716800.

The previous prime is 1215485825347. The next prime is 1215485825413. The reversal of 1215485825400 is 45285845121.

1215485825400 is a `hidden beast` number, since 1 + 2 + 1 + 54 + 8 + 58 + 2 + 540 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 596117581 + ... + 596119619.

It is an arithmetic number, because the mean of its divisors is an integer number (3280258800).

Almost surely, 2^{1215485825400} is an apocalyptic number.

1215485825400 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 1215485825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834143603200).

1215485825400 is an abundant number, since it is smaller than the sum of its proper divisors (4452801381000).

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

1215485825400 is a wasteful number, since it uses less digits than its factorization.

1215485825400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 1215485825400 in words is "one trillion, two hundred fifteen billion, four hundred eighty-five million, eight hundred twenty-five thousand, four hundred".