1056678618240 has 2048 divisors, whose sum is σ = 4624957440000. Its totient is φ = 230443315200.

The previous prime is 1056678618173. The next prime is 1056678618269. The reversal of 1056678618240 is 428168766501.

1056678618240 is a `hidden beast` number, since 1 + 0 + 566 + 78 + 6 + 1 + 8 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×1056678618240² (a number of 25 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 14882797405 + ... + 14882797475.

It is an arithmetic number, because the mean of its divisors is an integer number (2258280000).

Almost surely, 2^{1056678618240} is an apocalyptic number.

1056678618240 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 1056678618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312478720000).

1056678618240 is an abundant number, since it is smaller than the sum of its proper divisors (3568278821760).

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

1056678618240 is an frugal number, since it uses more digits than its factorization.

1056678618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1056678618240 in words is "one trillion, fifty-six billion, six hundred seventy-eight million, six hundred eighteen thousand, two hundred forty".