13750421479200 has 1152 divisors, whose sum is σ = 60692115456000. Its totient is φ = 2936657203200.

The previous prime is 13750421479159. The next prime is 13750421479211. The reversal of 13750421479200 is 297412405731.

13750421479200 is a `hidden beast` number, since 1 + 37 + 504 + 21 + 4 + 7 + 92 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135878221 + ... + 135979379.

It is an arithmetic number, because the mean of its divisors is an integer number (52684128000).

Almost surely, 2^{13750421479200} is an apocalyptic number.

13750421479200 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 13750421479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30346057728000).

13750421479200 is an abundant number, since it is smaller than the sum of its proper divisors (46941693976800).

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

13750421479200 is a wasteful number, since it uses less digits than its factorization.

13750421479200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101255 (or 101236 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13750421479200 in words is "thirteen trillion, seven hundred fifty billion, four hundred twenty-one million, four hundred seventy-nine thousand, two hundred".