10488374498880 has 336 divisors, whose sum is σ = 37693791967104. Its totient is φ = 2671767183360.

The previous prime is 10488374498869. The next prime is 10488374498939. The reversal of 10488374498880 is 8889447388401.

10488374498880 is a `hidden beast` number, since 10 + 4 + 88 + 374 + 4 + 98 + 8 + 80 = 666.

It is a super-2 number, since 2×10488374498880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10488374498799 and 10488374498808.

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, 50304607 + ... + 50512673.

It is an arithmetic number, because the mean of its divisors is an integer number (112183904664).

Almost surely, 2^{10488374498880} is an apocalyptic number.

10488374498880 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 10488374498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18846895983552).

10488374498880 is an abundant number, since it is smaller than the sum of its proper divisors (27205417468224).

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

10488374498880 is a wasteful number, since it uses less digits than its factorization.

10488374498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208874 (or 208861 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 10488374498880 in words is "ten trillion, four hundred eighty-eight billion, three hundred seventy-four million, four hundred ninety-eight thousand, eight hundred eighty".