10488149568000 has 1600 divisors, whose sum is σ = 44292845076480. Its totient is φ = 2445520896000.

The previous prime is 10488149567983. The next prime is 10488149568007. The reversal of 10488149568000 is 86594188401.

It is a happy number.

10488149568000 is a `hidden beast` number, since 1 + 0 + 488 + 14 + 95 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×10488149568000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10488149568007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1280443905 + ... + 1280452095.

Almost surely, 2^{10488149568000} is an apocalyptic number.

10488149568000 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 10488149568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22146422538240).

10488149568000 is an abundant number, since it is smaller than the sum of its proper divisors (33804695508480).

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

10488149568000 is an equidigital number, since it uses as much as digits as its factorization.

10488149568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 10488149568000 in words is "ten trillion, four hundred eighty-eight billion, one hundred forty-nine million, five hundred sixty-eight thousand".