15450261120 has 768 divisors, whose sum is σ = 64523796480. Its totient is φ = 3332136960.

The previous prime is 15450261119. The next prime is 15450261137. The reversal of 15450261120 is 2116205451.

15450261120 is a `hidden beast` number, since 1 + 5 + 45 + 0 + 2 + 611 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58746109 + ... + 58746371.

It is an arithmetic number, because the mean of its divisors is an integer number (84015360).

Almost surely, 2^15450261120 is an apocalyptic number.

15450261120 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 15450261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32261898240).

15450261120 is an abundant number, since it is smaller than the sum of its proper divisors (49073535360).

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

15450261120 is a wasteful number, since it uses less digits than its factorization.

15450261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 15450261120 its reverse (2116205451), we get a palindrome (17566466571).

The spelling of 15450261120 in words is "fifteen billion, four hundred fifty million, two hundred sixty-one thousand, one hundred twenty".