10990651946400 has 1152 divisors, whose sum is σ = 49111856640000. Its totient is φ = 2315585802240.

The previous prime is 10990651946383. The next prime is 10990651946431. The reversal of 10990651946400 is 464915609901.

10990651946400 is a `hidden beast` number, since 1 + 0 + 9 + 90 + 65 + 1 + 94 + 6 + 400 = 666.

It is a super-4 number, since 4×10990651946400⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 191 ways as a sum of consecutive naturals, for example, 106241901 + ... + 106345299.

It is an arithmetic number, because the mean of its divisors is an integer number (42631820000).

Almost surely, 2^{10990651946400} is an apocalyptic number.

10990651946400 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 10990651946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24555928320000).

10990651946400 is an abundant number, since it is smaller than the sum of its proper divisors (38121204693600).

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

10990651946400 is a wasteful number, since it uses less digits than its factorization.

10990651946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103491 (or 103472 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 10990651946400 in words is "ten trillion, nine hundred ninety billion, six hundred fifty-one million, nine hundred forty-six thousand, four hundred".