19125960672 has 576 divisors, whose sum is σ = 66023838720. Its totient is φ = 4800466944.

The previous prime is 19125960649. The next prime is 19125960673. The reversal of 19125960672 is 27606952191.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19125960673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178747243 + ... + 178747349.

It is an arithmetic number, because the mean of its divisors is an integer number (114624720).

Almost surely, 2^19125960672 is an apocalyptic number.

19125960672 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 19125960672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33011919360).

19125960672 is an abundant number, since it is smaller than the sum of its proper divisors (46897878048).

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

19125960672 is a wasteful number, since it uses less digits than its factorization.

19125960672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 19125960672 in words is "nineteen billion, one hundred twenty-five million, nine hundred sixty thousand, six hundred seventy-two".