13895131299840 has 1536 divisors, whose sum is σ = 57022370496000. Its totient is φ = 3128284938240.

The previous prime is 13895131299827. The next prime is 13895131299877. The reversal of 13895131299840 is 4899213159831.

13895131299840 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 513 + 1 + 29 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×13895131299840³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 41979248475 + ... + 41979248805.

It is an arithmetic number, because the mean of its divisors is an integer number (37123939125).

Almost surely, 2^{13895131299840} is an apocalyptic number.

13895131299840 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 13895131299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28511185248000).

13895131299840 is an abundant number, since it is smaller than the sum of its proper divisors (43127239196160).

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

13895131299840 is an frugal number, since it uses more digits than its factorization.

13895131299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 13895131299840 in words is "thirteen trillion, eight hundred ninety-five billion, one hundred thirty-one million, two hundred ninety-nine thousand, eight hundred forty".