1206420838560 has 1536 divisors, whose sum is σ = 5329981440000. Its totient is φ = 253761306624.

The previous prime is 1206420838547. The next prime is 1206420838573. The reversal of 1206420838560 is 658380246021.

1206420838560 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 4 + 2 + 0 + 83 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1206420838547) and next prime (1206420838573).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1183925731 + ... + 1183926749.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040000).

Almost surely, 2^{1206420838560} is an apocalyptic number.

1206420838560 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 1206420838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664990720000).

1206420838560 is an abundant number, since it is smaller than the sum of its proper divisors (4123560601440).

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

1206420838560 is a wasteful number, since it uses less digits than its factorization.

1206420838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1206420838560 in words is "one trillion, two hundred six billion, four hundred twenty million, eight hundred thirty-eight thousand, five hundred sixty".