10267486620048 has 640 divisors, whose sum is σ = 35666730516480. Its totient is φ = 2765767680000.

The previous prime is 10267486620019. The next prime is 10267486620073. The reversal of 10267486620048 is 84002668476201.

It is a happy number.

10267486620048 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 7 + 4 + 8 + 6 + 620 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10267486619976 and 10267486620003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3601361823 + ... + 3601364673.

It is an arithmetic number, because the mean of its divisors is an integer number (55729266432).

Almost surely, 2^{10267486620048} is an apocalyptic number.

10267486620048 is a gapful number since it is divisible by the number (18) 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 10267486620048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833365258240).

10267486620048 is an abundant number, since it is smaller than the sum of its proper divisors (25399243896432).

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

10267486620048 is a wasteful number, since it uses less digits than its factorization.

10267486620048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 10267486620048 in words is "ten trillion, two hundred sixty-seven billion, four hundred eighty-six million, six hundred twenty thousand, forty-eight".