1107157636260 has 1152 divisors, whose sum is σ = 4284132249600. Its totient is φ = 234877501440.

The previous prime is 1107157636223. The next prime is 1107157636271. The reversal of 1107157636260 is 626367517011.

1107157636260 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 1 + 5 + 7 + 636 + 2 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1335533526 + ... + 1335534354.

It is an arithmetic number, because the mean of its divisors is an integer number (3718864800).

Almost surely, 2^{1107157636260} is an apocalyptic number.

1107157636260 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 1107157636260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142066124800).

1107157636260 is an abundant number, since it is smaller than the sum of its proper divisors (3176974613340).

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

1107157636260 is a wasteful number, since it uses less digits than its factorization.

1107157636260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1107157636260 in words is "one trillion, one hundred seven billion, one hundred fifty-seven million, six hundred thirty-six thousand, two hundred sixty".