10249409011968 has 720 divisors, whose sum is σ = 35610239782656. Its totient is φ = 2871640719360.

The previous prime is 10249409011957. The next prime is 10249409011981. The reversal of 10249409011968 is 86911090494201.

10249409011968 is a `hidden beast` number, since 1 + 0 + 2 + 49 + 409 + 0 + 1 + 196 + 8 = 666.

It is a super-2 number, since 2×10249409011968² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1989015280 + ... + 1989020432.

Almost surely, 2^{10249409011968} is an apocalyptic number.

10249409011968 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 10249409011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17805119891328).

10249409011968 is an abundant number, since it is smaller than the sum of its proper divisors (25360830770688).

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

10249409011968 is an equidigital number, since it uses as much as digits as its factorization.

10249409011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 10249409011968 in words is "ten trillion, two hundred forty-nine billion, four hundred nine million, eleven thousand, nine hundred sixty-eight".