1011655042560 has 1280 divisors, whose sum is σ = 3966817536000. Its totient is φ = 243390873600.

The previous prime is 1011655042543. The next prime is 1011655042603. The reversal of 1011655042560 is 652405561101.

1011655042560 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 6 + 5 + 50 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×1011655042560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3846596989 + ... + 3846597251.

It is an arithmetic number, because the mean of its divisors is an integer number (3099076200).

Almost surely, 2^{1011655042560} is an apocalyptic number.

1011655042560 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 1011655042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983408768000).

1011655042560 is an abundant number, since it is smaller than the sum of its proper divisors (2955162493440).

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

1011655042560 is a wasteful number, since it uses less digits than its factorization.

1011655042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 1011655042560 in words is "one trillion, eleven billion, six hundred fifty-five million, forty-two thousand, five hundred sixty".