19745402880 has 416 divisors, whose sum is σ = 74582396928. Its totient is φ = 4364697600.

The previous prime is 19745402857. The next prime is 19745402881. The reversal of 19745402880 is 8820454791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19745402881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13331740 + ... + 13333220.

It is an arithmetic number, because the mean of its divisors is an integer number (179284608).

Almost surely, 2^19745402880 is an apocalyptic number.

19745402880 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 19745402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37291198464).

19745402880 is an abundant number, since it is smaller than the sum of its proper divisors (54836994048).

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

19745402880 is a wasteful number, since it uses less digits than its factorization.

19745402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 19745402880 in words is "nineteen billion, seven hundred forty-five million, four hundred two thousand, eight hundred eighty".