19121609952 has 48 divisors (see below), whose sum is σ = 55771364880. Its totient is φ = 6373869696.

The previous prime is 19121609951. The next prime is 19121609957. The reversal of 19121609952 is 25990612191.

19121609952 is a `hidden beast` number, since 19 + 1 + 21 + 609 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 19121609898 and 19121609907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19121609951) 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, 11064883 + ... + 11066610.

It is an arithmetic number, because the mean of its divisors is an integer number (1161903435).

Almost surely, 2^19121609952 is an apocalyptic number.

19121609952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19121609952 is an abundant number, since it is smaller than the sum of its proper divisors (36649754928).

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

19121609952 is a wasteful number, since it uses less digits than its factorization.

19121609952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22131512 (or 22131498 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 19121609952 in words is "nineteen billion, one hundred twenty-one million, six hundred nine thousand, nine hundred fifty-two".