13029400903680 has 1176 divisors, whose sum is σ = 53692165871232. Its totient is φ = 2972033482752.

The previous prime is 13029400903669. The next prime is 13029400903693. The reversal of 13029400903680 is 8630900492031.

It is a happy number.

13029400903680 is a `hidden beast` number, since 1 + 30 + 29 + 400 + 90 + 36 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26754416397 + ... + 26754416883.

It is an arithmetic number, because the mean of its divisors is an integer number (45656603632).

Almost surely, 2^{13029400903680} is an apocalyptic number.

13029400903680 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 13029400903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26846082935616).

13029400903680 is an abundant number, since it is smaller than the sum of its proper divisors (40662764967552).

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

13029400903680 is an frugal number, since it uses more digits than its factorization.

13029400903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13029400903680 in words is "thirteen trillion, twenty-nine billion, four hundred million, nine hundred three thousand, six hundred eighty".