19935084880 has 40 divisors (see below), whose sum is σ = 47947321800. Its totient is φ = 7699066368.

The previous prime is 19935084859. The next prime is 19935084887. The reversal of 19935084880 is 8848053991.

It can be written as a sum of positive squares in 4 ways, for example, as 6466089744 + 13468995136 = 80412^2 + 116056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×19935084880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19935084887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4294035 + ... + 4298674.

It is an arithmetic number, because the mean of its divisors is an integer number (1198683045).

Almost surely, 2^19935084880 is an apocalyptic number.

19935084880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19935084880 is an abundant number, since it is smaller than the sum of its proper divisors (28012236920).

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

19935084880 is a wasteful number, since it uses less digits than its factorization.

19935084880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8592751 (or 8592745 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 19935084880 in words is "nineteen billion, nine hundred thirty-five million, eighty-four thousand, eight hundred eighty".