1061987248080 has 400 divisors, whose sum is σ = 4025853114624. Its totient is φ = 257317032960.

The previous prime is 1061987248079. The next prime is 1061987248081. The reversal of 1061987248080 is 808427891601.

1061987248080 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 9 + 87 + 2 + 480 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1061987248079) and next prime (1061987248081).

It is a super-2 number, since 2×1061987248080² (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 not an unprimeable number, because it can be changed into a prime (1061987248081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 242848774 + ... + 242853146.

Almost surely, 2^{1061987248080} is an apocalyptic number.

1061987248080 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 1061987248080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012926557312).

1061987248080 is an abundant number, since it is smaller than the sum of its proper divisors (2963865866544).

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

1061987248080 is a wasteful number, since it uses less digits than its factorization.

1061987248080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1061987248080 in words is "one trillion, sixty-one billion, nine hundred eighty-seven million, two hundred forty-eight thousand, eighty".