10787106451968 has 1920 divisors, whose sum is σ = 41835464858880. Its totient is φ = 2746508083200.

The previous prime is 10787106451943. The next prime is 10787106451997. The reversal of 10787106451968 is 86915460178701.

10787106451968 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 7 + 106 + 4 + 519 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36816062830 + ... + 36816063122.

It is an arithmetic number, because the mean of its divisors is an integer number (21789304614).

Almost surely, 2^{10787106451968} is an apocalyptic number.

10787106451968 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 10787106451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20917732429440).

10787106451968 is an abundant number, since it is smaller than the sum of its proper divisors (31048358406912).

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

10787106451968 is an frugal number, since it uses more digits than its factorization.

10787106451968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 10787106451968 in words is "ten trillion, seven hundred eighty-seven billion, one hundred six million, four hundred fifty-one thousand, nine hundred sixty-eight".