15503048870400 has 3840 divisors, whose sum is σ = 75124311736320. Its totient is φ = 3038537318400.

The previous prime is 15503048870369. The next prime is 15503048870447. The reversal of 15503048870400 is 407884030551.

15503048870400 is a `hidden beast` number, since 15 + 50 + 3 + 0 + 488 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

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 383 ways as a sum of consecutive naturals, for example, 57206822265 + ... + 57206822535.

It is an arithmetic number, because the mean of its divisors is an integer number (19563622848).

Almost surely, 2^{15503048870400} is an apocalyptic number.

15503048870400 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 15503048870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37562155868160).

15503048870400 is an abundant number, since it is smaller than the sum of its proper divisors (59621262865920).

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

15503048870400 is a wasteful number, since it uses less digits than its factorization.

15503048870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 15503048870400 in words is "fifteen trillion, five hundred three billion, forty-eight million, eight hundred seventy thousand, four hundred".