10287377280 has 384 divisors, whose sum is σ = 38838009600. Its totient is φ = 2497904640.

The previous prime is 10287377267. The next prime is 10287377299. The reversal of 10287377280 is 8277378201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 3033826 + ... + 3037214.

It is an arithmetic number, because the mean of its divisors is an integer number (101140650).

Almost surely, 2^10287377280 is an apocalyptic number.

10287377280 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 10287377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19419004800).

10287377280 is an abundant number, since it is smaller than the sum of its proper divisors (28550632320).

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

10287377280 is a wasteful number, since it uses less digits than its factorization.

10287377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 10287377280 in words is "ten billion, two hundred eighty-seven million, three hundred seventy-seven thousand, two hundred eighty".