19561148006400 has 7200 divisors, whose sum is σ = 105721420062720. Its totient is φ = 3439853568000.

The previous prime is 19561148006399. The next prime is 19561148006429. The reversal of 19561148006400 is 460084116591.

19561148006400 is a `hidden beast` number, since 1 + 9 + 56 + 114 + 80 + 0 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a super-2 number, since 2×19561148006400² (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 a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 631004774385 + ... + 631004774415.

Almost surely, 2^{19561148006400} is an apocalyptic number.

19561148006400 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 19561148006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52860710031360).

19561148006400 is an abundant number, since it is smaller than the sum of its proper divisors (86160272056320).

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

19561148006400 is a wasteful number, since it uses less digits than its factorization.

19561148006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 19561148006400 in words is "nineteen trillion, five hundred sixty-one billion, one hundred forty-eight million, six thousand, four hundred".