10497735018000 has 240 divisors, whose sum is σ = 36683520247296. Its totient is φ = 2797988793600.

The previous prime is 10497735017999. The next prime is 10497735018037. The reversal of 10497735018000 is 81053779401.

10497735018000 is a `hidden beast` number, since 10 + 49 + 77 + 350 + 180 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10497735018000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 35908417 + ... + 36199583.

Almost surely, 2^{10497735018000} is an apocalyptic number.

10497735018000 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 10497735018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341760123648).

10497735018000 is an abundant number, since it is smaller than the sum of its proper divisors (26185785229296).

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

10497735018000 is a wasteful number, since it uses less digits than its factorization.

10497735018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293199 (or 293180 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10497735018000 in words is "ten trillion, four hundred ninety-seven billion, seven hundred thirty-five million, eighteen thousand".