10286448291840 has 1248 divisors, whose sum is σ = 41608371824640. Its totient is φ = 2155216896000.

The previous prime is 10286448291839. The next prime is 10286448291913. The reversal of 10286448291840 is 4819284468201.

It is a happy number.

It is a super-2 number, since 2×10286448291840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1773216940 + ... + 1773222740.

Almost surely, 2^{10286448291840} is an apocalyptic number.

10286448291840 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 10286448291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20804185912320).

10286448291840 is an abundant number, since it is smaller than the sum of its proper divisors (31321923532800).

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

10286448291840 is a wasteful number, since it uses less digits than its factorization.

10286448291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 10286448291840 in words is "ten trillion, two hundred eighty-six billion, four hundred forty-eight million, two hundred ninety-one thousand, eight hundred forty".