19053619400400 has 1920 divisors, whose sum is σ = 75673906560000. Its totient is φ = 4048551936000.

The previous prime is 19053619400399. The next prime is 19053619400411. The reversal of 19053619400400 is 400491635091.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15255098976 + ... + 15255100224.

It is an arithmetic number, because the mean of its divisors is an integer number (39413493000).

Almost surely, 2^{19053619400400} is an apocalyptic number.

19053619400400 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 19053619400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37836953280000).

19053619400400 is an abundant number, since it is smaller than the sum of its proper divisors (56620287159600).

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

19053619400400 is a wasteful number, since it uses less digits than its factorization.

19053619400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 19053619400400 in words is "nineteen trillion, fifty-three billion, six hundred nineteen million, four hundred thousand, four hundred".