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19880640000 = 2934541359
BaseRepresentation
bin10010100000111110…
…100111111000000000
31220022111221011010000
4102200332213320000
5311203420440000
613044423040000
71302442436364
oct224076477000
956274834100
1019880640000
1184821150a1
123a29ba0000
131b4aa46110
14d684d52a4
157b5540000
hex4a0fa7e00

19880640000 has 1000 divisors, whose sum is σ = 81206599320. Its totient is φ = 4810752000.

The previous prime is 19880639983. The next prime is 19880640011. The reversal of 19880640000 is 4608891.

It is a happy number.

19880640000 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 0 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 336959971 + ... + 336960029.

Almost surely, 219880640000 is an apocalyptic number.

19880640000 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 19880640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40603299660).

19880640000 is an abundant number, since it is smaller than the sum of its proper divisors (61325959320).

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

19880640000 is an frugal number, since it uses more digits than its factorization.

19880640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 19880640000 in words is "nineteen billion, eight hundred eighty million, six hundred forty thousand".