13890572465280 has 768 divisors, whose sum is σ = 54127739064960. Its totient is φ = 3017303654400.

The previous prime is 13890572465261. The next prime is 13890572465309. The reversal of 13890572465280 is 8256427509831.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149634880 + ... + 149727680.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13890572465280 = 27781144930560, but 3⋅13890572465280 = 41671717395840 is not.

Almost surely, 2^{13890572465280} is an apocalyptic number.

13890572465280 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 13890572465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27063869532480).

13890572465280 is an abundant number, since it is smaller than the sum of its proper divisors (40237166599680).

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

13890572465280 is a wasteful number, since it uses less digits than its factorization.

13890572465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92917 (or 92898 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 13890572465280 in words is "thirteen trillion, eight hundred ninety billion, five hundred seventy-two million, four hundred sixty-five thousand, two hundred eighty".