13219157156400 has 960 divisors, whose sum is σ = 52375487754240. Its totient is φ = 3144689049600.

The previous prime is 13219157156357. The next prime is 13219157156419. The reversal of 13219157156400 is 465175191231.

13219157156400 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 9 + 15 + 71 + 564 + 0 + 0 = 666.

It is a super-2 number, since 2×13219157156400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4147835607 + ... + 4147838793.

It is an arithmetic number, because the mean of its divisors is an integer number (54557799744).

Almost surely, 2^{13219157156400} is an apocalyptic number.

13219157156400 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 13219157156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26187743877120).

13219157156400 is an abundant number, since it is smaller than the sum of its proper divisors (39156330597840).

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

13219157156400 is a wasteful number, since it uses less digits than its factorization.

13219157156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 13219157156400 in words is "thirteen trillion, two hundred nineteen billion, one hundred fifty-seven million, one hundred fifty-six thousand, four hundred".