19125799680 has 576 divisors, whose sum is σ = 71996940288. Its totient is φ = 4282122240.

The previous prime is 19125799633. The next prime is 19125799687. The reversal of 19125799680 is 8699752191.

It is a self number, because there is not a number n which added to its sum of digits gives 19125799680.

It is not an unprimeable number, because it can be changed into a prime (19125799687) 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, 26307477 + ... + 26308203.

It is an arithmetic number, because the mean of its divisors is an integer number (124994688).

Almost surely, 2^19125799680 is an apocalyptic number.

19125799680 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 19125799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35998470144).

19125799680 is an abundant number, since it is smaller than the sum of its proper divisors (52871140608).

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

19125799680 is a wasteful number, since it uses less digits than its factorization.

19125799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 57.

The spelling of 19125799680 in words is "nineteen billion, one hundred twenty-five million, seven hundred ninety-nine thousand, six hundred eighty".