19777645000 has 40 divisors (see below), whose sum is σ = 46339033950. Its totient is φ = 7911056000.

The previous prime is 19777644983. The next prime is 19777645001. The reversal of 19777645000 is 54677791.

It can be written as a sum of positive squares in 5 ways, for example, as 324648324 + 19452996676 = 18018^2 + 139474^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×19777645000³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (19777645001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1972765 + ... + 1982764.

Almost surely, 2^19777645000 is an apocalyptic number.

19777645000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19777645000 is an abundant number, since it is smaller than the sum of its proper divisors (26561388950).

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

19777645000 is an equidigital number, since it uses as much as digits as its factorization.

19777645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955555 (or 3955536 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 46.

The spelling of 19777645000 in words is "nineteen billion, seven hundred seventy-seven million, six hundred forty-five thousand".