26661401661120 has 224 divisors, whose sum is σ = 84741446000640. Its totient is φ = 7102027468800.

The previous prime is 26661401661091. The next prime is 26661401661149. The reversal of 26661401661120 is 2116610416662.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26661401661091) and next prime (26661401661149).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5574198249 + ... + 5574203031.

Almost surely, 2^{26661401661120} is an apocalyptic number.

26661401661120 is a gapful number since it is divisible by the number (20) 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 26661401661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42370723000320).

26661401661120 is an abundant number, since it is smaller than the sum of its proper divisors (58080044339520).

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

26661401661120 is a wasteful number, since it uses less digits than its factorization.

26661401661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863 (or 9853 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 26661401661120 in words is "twenty-six trillion, six hundred sixty-one billion, four hundred one million, six hundred sixty-one thousand, one hundred twenty".