15540650400 has 288 divisors, whose sum is σ = 55967417856. Its totient is φ = 3713920000.

The previous prime is 15540650309. The next prime is 15540650443. The reversal of 15540650400 is 405604551.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1870255 + ... + 1878545.

It is an arithmetic number, because the mean of its divisors is an integer number (194331312).

Almost surely, 2^15540650400 is an apocalyptic number.

15540650400 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 15540650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27983708928).

15540650400 is an abundant number, since it is smaller than the sum of its proper divisors (40426767456).

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

15540650400 is a wasteful number, since it uses less digits than its factorization.

15540650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396 (or 8383 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 15540650400 in words is "fifteen billion, five hundred forty million, six hundred fifty thousand, four hundred".