1136779004970 has 384 divisors, whose sum is σ = 3590770176000. Its totient is φ = 255126340224.

The previous prime is 1136779004969. The next prime is 1136779004981. The reversal of 1136779004970 is 794009776311.

1136779004970 is a `hidden beast` number, since 1 + 1 + 3 + 67 + 7 + 90 + 0 + 497 + 0 = 666.

It is a super-2 number, since 2×1136779004970² (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 Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 183377931 + ... + 183384129.

It is an arithmetic number, because the mean of its divisors is an integer number (9350964000).

Almost surely, 2^{1136779004970} is an apocalyptic number.

1136779004970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136779004970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795385088000).

1136779004970 is an abundant number, since it is smaller than the sum of its proper divisors (2453991171030).

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

1136779004970 is a wasteful number, since it uses less digits than its factorization.

1136779004970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 1136779004970 in words is "one trillion, one hundred thirty-six billion, seven hundred seventy-nine million, four thousand, nine hundred seventy".