15274116000000 has 4032 divisors, whose sum is σ = 70823693445120. Its totient is φ = 3193344000000.

The previous prime is 15274115999951. The next prime is 15274116000007. The reversal of 15274116000000 is 61147251.

It is a happy number.

15274116000000 is a `hidden beast` number, since 1 + 52 + 7 + 4 + 1 + 1 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (15274116000007) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 355211999979 + ... + 355212000021.

It is an arithmetic number, because the mean of its divisors is an integer number (17565400160).

Almost surely, 2^{15274116000000} is an apocalyptic number.

15274116000000 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 15274116000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35411846722560).

15274116000000 is an abundant number, since it is smaller than the sum of its proper divisors (55549577445120).

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

15274116000000 is an equidigital number, since it uses as much as digits as its factorization.

15274116000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 15274116000000 its reverse (61147251), we get a palindrome (15274177147251).

The spelling of 15274116000000 in words is "fifteen trillion, two hundred seventy-four billion, one hundred sixteen million", and thus it is an aban number.