19350727680 has 352 divisors, whose sum is σ = 64518819840. Its totient is φ = 4945674240.

The previous prime is 19350727673. The next prime is 19350727687. The reversal of 19350727680 is 8672705391.

It is an interprime number because it is at equal distance from previous prime (19350727673) and next prime (19350727687).

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

It is not an unprimeable number, because it can be changed into a prime (19350727687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44897065 + ... + 44897495.

Almost surely, 2^19350727680 is an apocalyptic number.

19350727680 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 19350727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32259409920).

19350727680 is an abundant number, since it is smaller than the sum of its proper divisors (45168092160).

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

19350727680 is a wasteful number, since it uses less digits than its factorization.

19350727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 19350727680 in words is "nineteen billion, three hundred fifty million, seven hundred twenty-seven thousand, six hundred eighty".