5967366225408 has 840 divisors, whose sum is σ = 21514023047880. Its totient is φ = 1646023680000.

The previous prime is 5967366225367. The next prime is 5967366225449. The reversal of 5967366225408 is 8045226637695.

5967366225408 is a `hidden beast` number, since 5 + 9 + 6 + 7 + 3 + 66 + 22 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5967366225367) and next prime (5967366225449).

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 83 ways as a sum of consecutive naturals, for example, 530379783 + ... + 530391033.

Almost surely, 2^{5967366225408} is an apocalyptic number.

5967366225408 is a gapful number since it is divisible by the number (58) 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 5967366225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10757011523940).

5967366225408 is an abundant number, since it is smaller than the sum of its proper divisors (15546656822472).

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

5967366225408 is an equidigital number, since it uses as much as digits as its factorization.

5967366225408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11330 (or 11292 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 5967366225408 in words is "five trillion, nine hundred sixty-seven billion, three hundred sixty-six million, two hundred twenty-five thousand, four hundred eight".