1206877782240 has 768 divisors, whose sum is σ = 4827482634240. Its totient is φ = 278970531840.

The previous prime is 1206877782239. The next prime is 1206877782269. The reversal of 1206877782240 is 422877786021.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 522230685 + ... + 522232995.

It is an arithmetic number, because the mean of its divisors is an integer number (6285784680).

Almost surely, 2^{1206877782240} is an apocalyptic number.

1206877782240 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 1206877782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413741317120).

1206877782240 is an abundant number, since it is smaller than the sum of its proper divisors (3620604852000).

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

1206877782240 is a wasteful number, since it uses less digits than its factorization.

1206877782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 1206877782240 in words is "one trillion, two hundred six billion, eight hundred seventy-seven million, seven hundred eighty-two thousand, two hundred forty".