11157782927040 has 224 divisors, whose sum is σ = 39371925035520. Its totient is φ = 2974672051200.

The previous prime is 11157782927023. The next prime is 11157782927101. The reversal of 11157782927040 is 4072928775111.

11157782927040 is a `hidden beast` number, since 1 + 1 + 1 + 577 + 8 + 2 + 9 + 27 + 0 + 40 = 666.

It is a super-2 number, since 2×11157782927040² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35188405 + ... + 35504075.

It is an arithmetic number, because the mean of its divisors is an integer number (175767522480).

Almost surely, 2^{11157782927040} is an apocalyptic number.

11157782927040 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 11157782927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19685962517760).

11157782927040 is an abundant number, since it is smaller than the sum of its proper divisors (28214142108480).

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

11157782927040 is a wasteful number, since it uses less digits than its factorization.

11157782927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319788 (or 319772 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 11157782927040 in words is "eleven trillion, one hundred fifty-seven billion, seven hundred eighty-two million, nine hundred twenty-seven thousand, forty".