19770689952 has 384 divisors, whose sum is σ = 64987453440. Its totient is φ = 5878656000.

The previous prime is 19770689947. The next prime is 19770689957. The reversal of 19770689952 is 25998607791.

It is an interprime number because it is at equal distance from previous prime (19770689947) and next prime (19770689957).

It is a super-2 number, since 2×19770689952² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19770689952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19770689957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28203202 + ... + 28203902.

It is an arithmetic number, because the mean of its divisors is an integer number (169238160).

Almost surely, 2^19770689952 is an apocalyptic number.

19770689952 is a gapful number since it is divisible by the number (12) 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 19770689952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32493726720).

19770689952 is an abundant number, since it is smaller than the sum of its proper divisors (45216763488).

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

19770689952 is an equidigital number, since it uses as much as digits as its factorization.

19770689952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 19770689952 in words is "nineteen billion, seven hundred seventy million, six hundred eighty-nine thousand, nine hundred fifty-two".