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20689320960 = 210325741117
BaseRepresentation
bin10011010001001011…
…011111110000000000
31222101212121101211200
4103101023133300000
5314332431232320
613300551541200
71331462220000
oct232113376000
958355541750
1020689320960
118857645070
12401498a800
131c49448369
141003a80000
1581152e290
hex4d12dfc00

20689320960 has 1320 divisors, whose sum is σ = 96600484656. Its totient is φ = 4046192640.

The previous prime is 20689320931. The next prime is 20689320973. The reversal of 20689320960 is 6902398602.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1217018872 + ... + 1217018888.

Almost surely, 220689320960 is an apocalyptic number.

20689320960 is a gapful number since it is divisible by the number (20) 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 20689320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48300242328).

20689320960 is an abundant number, since it is smaller than the sum of its proper divisors (75911163696).

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

20689320960 is a wasteful number, since it uses less digits than its factorization.

20689320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 20689320960 in words is "twenty billion, six hundred eighty-nine million, three hundred twenty thousand, nine hundred sixty".