19945699762560 has 1024 divisors, whose sum is σ = 78409949184000. Its totient is φ = 4246076620800.

The previous prime is 19945699762553. The next prime is 19945699762589. The reversal of 19945699762560 is 6526799654991.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 502150381 + ... + 502190099.

It is an arithmetic number, because the mean of its divisors is an integer number (76572216000).

Almost surely, 2^{19945699762560} is an apocalyptic number.

19945699762560 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 19945699762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39204974592000).

19945699762560 is an abundant number, since it is smaller than the sum of its proper divisors (58464249421440).

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

19945699762560 is a wasteful number, since it uses less digits than its factorization.

19945699762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39855 (or 39843 counting only the distinct ones).

The product of its (nonzero) digits is 1984046400, while the sum is 78.

The spelling of 19945699762560 in words is "nineteen trillion, nine hundred forty-five billion, six hundred ninety-nine million, seven hundred sixty-two thousand, five hundred sixty".