13419653952000 has 640 divisors, whose sum is σ = 46249062013440. Its totient is φ = 3448175001600.

The previous prime is 13419653951939. The next prime is 13419653952049. The reversal of 13419653952000 is 25935691431.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×13419653952000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3101373837 + ... + 3101378163.

It is an arithmetic number, because the mean of its divisors is an integer number (72264159396).

Almost surely, 2^{13419653952000} is an apocalyptic number.

13419653952000 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 13419653952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23124531006720).

13419653952000 is an abundant number, since it is smaller than the sum of its proper divisors (32829408061440).

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

13419653952000 is an equidigital number, since it uses as much as digits as its factorization.

13419653952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 13419653952000 in words is "thirteen trillion, four hundred nineteen billion, six hundred fifty-three million, nine hundred fifty-two thousand".