13120473458400 has 576 divisors, whose sum is σ = 53347856518656. Its totient is φ = 2721079296000.

The previous prime is 13120473458387. The next prime is 13120473458419. The reversal of 13120473458400 is 485437402131.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 96212664 + ... + 96348936.

It is an arithmetic number, because the mean of its divisors is an integer number (92617806456).

Almost surely, 2^{13120473458400} is an apocalyptic number.

13120473458400 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 13120473458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26673928259328).

13120473458400 is an abundant number, since it is smaller than the sum of its proper divisors (40227383060256).

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

13120473458400 is a wasteful number, since it uses less digits than its factorization.

13120473458400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136835 (or 136822 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 13120473458400 in words is "thirteen trillion, one hundred twenty billion, four hundred seventy-three million, four hundred fifty-eight thousand, four hundred".