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12553675680 = 25357133173127
BaseRepresentation
bin10111011000100000…
…11110001110100000
31012101212221210121010
423230100132032200
5201202220110210
65433404500520
7623043324360
oct135420361640
935355853533
1012553675680
11536224a387
12252424a740
131250a91080
148713869a0
154d718c920
hex2ec41e3a0

12553675680 has 768 divisors, whose sum is σ = 51328843776. Its totient is φ = 2508226560.

The previous prime is 12553675669. The next prime is 12553675697. The reversal of 12553675680 is 8657635521.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98847777 + ... + 98847903.

It is an arithmetic number, because the mean of its divisors is an integer number (66834432).

Almost surely, 212553675680 is an apocalyptic number.

12553675680 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 12553675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25664421888).

12553675680 is an abundant number, since it is smaller than the sum of its proper divisors (38775168096).

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

12553675680 is a wasteful number, since it uses less digits than its factorization.

12553675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 12553675680 in words is "twelve billion, five hundred fifty-three million, six hundred seventy-five thousand, six hundred eighty".