1107861995520 has 1536 divisors, whose sum is σ = 4841201520000. Its totient is φ = 239006121984.

The previous prime is 1107861995519. The next prime is 1107861995531. The reversal of 1107861995520 is 255991687011.

It is a happy number.

1107861995520 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 86 + 1 + 9 + 9 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1107861995520² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4118445946 + ... + 4118446214.

Almost surely, 2^{1107861995520} is an apocalyptic number.

1107861995520 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 1107861995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420600760000).

1107861995520 is an abundant number, since it is smaller than the sum of its proper divisors (3733339524480).

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

1107861995520 is an equidigital number, since it uses as much as digits as its factorization.

1107861995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 1107861995520 in words is "one trillion, one hundred seven billion, eight hundred sixty-one million, nine hundred ninety-five thousand, five hundred twenty".