19750465800 has 576 divisors, whose sum is σ = 77670028800. Its totient is φ = 4454092800.

The previous prime is 19750465793. The next prime is 19750465849. The reversal of 19750465800 is 856405791.

19750465800 is a `hidden beast` number, since 1 + 9 + 7 + 504 + 65 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13781884 + ... + 13783316.

It is an arithmetic number, because the mean of its divisors is an integer number (134843800).

Almost surely, 2^19750465800 is an apocalyptic number.

19750465800 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 19750465800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38835014400).

19750465800 is an abundant number, since it is smaller than the sum of its proper divisors (57919563000).

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

19750465800 is a wasteful number, since it uses less digits than its factorization.

19750465800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 19750465800 in words is "nineteen billion, seven hundred fifty million, four hundred sixty-five thousand, eight hundred".