15122661400 has 384 divisors, whose sum is σ = 46032053760. Its totient is φ = 4483584000.

The previous prime is 15122661361. The next prime is 15122661403. The reversal of 15122661400 is 416622151.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15122661403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27149922 + ... + 27150478.

It is an arithmetic number, because the mean of its divisors is an integer number (119875140).

Almost surely, 2^15122661400 is an apocalyptic number.

15122661400 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 15122661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23016026880).

15122661400 is an abundant number, since it is smaller than the sum of its proper divisors (30909392360).

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

15122661400 is a wasteful number, since it uses less digits than its factorization.

15122661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 15122661400 in words is "fifteen billion, one hundred twenty-two million, six hundred sixty-one thousand, four hundred".