10986957740952 has 576 divisors, whose sum is σ = 33238153428480. Its totient is φ = 3393026993664.

The previous prime is 10986957740939. The next prime is 10986957740963. The reversal of 10986957740952 is 25904775968901.

10986957740952 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 6 + 9 + 577 + 40 + 9 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11361899973 + ... + 11361900939.

It is an arithmetic number, because the mean of its divisors is an integer number (57705127480).

Almost surely, 2^{10986957740952} is an apocalyptic number.

10986957740952 is a gapful number since it is divisible by the number (12) 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 10986957740952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619076714240).

10986957740952 is an abundant number, since it is smaller than the sum of its proper divisors (22251195687528).

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

10986957740952 is an equidigital number, since it uses as much as digits as its factorization.

10986957740952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 10986957740952 in words is "ten trillion, nine hundred eighty-six billion, nine hundred fifty-seven million, seven hundred forty thousand, nine hundred fifty-two".