19025072100 has 288 divisors, whose sum is σ = 62471001600. Its totient is φ = 4965840000.

The previous prime is 19025072089. The next prime is 19025072107. The reversal of 19025072100 is 127052091.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (19025072107) 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, 45405691 + ... + 45406109.

It is an arithmetic number, because the mean of its divisors is an integer number (216913200).

Almost surely, 2^19025072100 is an apocalyptic number.

19025072100 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 19025072100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31235500800).

19025072100 is an abundant number, since it is smaller than the sum of its proper divisors (43445929500).

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

19025072100 is a wasteful number, since it uses less digits than its factorization.

19025072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 19025072100 in words is "nineteen billion, twenty-five million, seventy-two thousand, one hundred".