10267325849088 has 1600 divisors, whose sum is σ = 41766388494336. Its totient is φ = 2428600320000.

The previous prime is 10267325849047. The next prime is 10267325849093. The reversal of 10267325849088 is 88094852376201.

10267325849088 is a `hidden beast` number, since 1 + 0 + 2 + 67 + 3 + 2 + 5 + 8 + 490 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1682889238 + ... + 1682895338.

It is a 3-persistent number, because k⋅10267325849088 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{10267325849088} is an apocalyptic number.

10267325849088 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 10267325849088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20883194247168).

10267325849088 is an abundant number, since it is smaller than the sum of its proper divisors (31499062645248).

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

10267325849088 is a wasteful number, since it uses less digits than its factorization.

10267325849088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 10267325849088 in words is "ten trillion, two hundred sixty-seven billion, three hundred twenty-five million, eight hundred forty-nine thousand, eighty-eight".