13758225345900 has 1512 divisors, whose sum is σ = 53578675589040. Its totient is φ = 3055019950080.

The previous prime is 13758225345899. The next prime is 13758225345967. The reversal of 13758225345900 is 954352285731.

13758225345900 is a `hidden beast` number, since 1 + 3 + 7 + 58 + 2 + 2 + 534 + 59 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 20443127964 + ... + 20443128636.

Almost surely, 2^{13758225345900} is an apocalyptic number.

13758225345900 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 13758225345900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26789337794520).

13758225345900 is an abundant number, since it is smaller than the sum of its proper divisors (39820450243140).

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

13758225345900 is a wasteful number, since it uses less digits than its factorization.

13758225345900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 13758225345900 in words is "thirteen trillion, seven hundred fifty-eight billion, two hundred twenty-five million, three hundred forty-five thousand, nine hundred".