13550801510400 has 4032 divisors, whose sum is σ = 63029558350080. Its totient is φ = 2527907020800.

The previous prime is 13550801510387. The next prime is 13550801510419. The reversal of 13550801510400 is 401510805531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 163262668759 + ... + 163262668841.

It is an arithmetic number, because the mean of its divisors is an integer number (15632330940).

Almost surely, 2^{13550801510400} is an apocalyptic number.

13550801510400 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 13550801510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31514779175040).

13550801510400 is an abundant number, since it is smaller than the sum of its proper divisors (49478756839680).

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

13550801510400 is a wasteful number, since it uses less digits than its factorization.

13550801510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 13550801510400 in words is "thirteen trillion, five hundred fifty billion, eight hundred one million, five hundred ten thousand, four hundred".