19881356040 has 1152 divisors, whose sum is σ = 88884432000. Its totient is φ = 3973971456.

The previous prime is 19881356023. The next prime is 19881356041. The reversal of 19881356040 is 4065318891.

19881356040 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 1 + 35 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19881356041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1046387151 + ... + 1046387169.

It is an arithmetic number, because the mean of its divisors is an integer number (77156625).

Almost surely, 2^19881356040 is an apocalyptic number.

19881356040 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 19881356040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44442216000).

19881356040 is an abundant number, since it is smaller than the sum of its proper divisors (69003075960).

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

19881356040 is a wasteful number, since it uses less digits than its factorization.

19881356040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

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

The spelling of 19881356040 in words is "nineteen billion, eight hundred eighty-one million, three hundred fifty-six thousand, forty".