2861548560000 has 1920 divisors, whose sum is σ = 11732173252800. Its totient is φ = 693868032000.

The previous prime is 2861548559951. The next prime is 2861548560007. The reversal of 2861548560000 is 658451682.

2861548560000 is a `hidden beast` number, since 2 + 86 + 1 + 5 + 4 + 8 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2861548560000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2861548560007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 42709679967 + ... + 42709680033.

Almost surely, 2^{2861548560000} is an apocalyptic number.

2861548560000 is a gapful number since it is divisible by the number (20) 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 2861548560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866086626400).

2861548560000 is an abundant number, since it is smaller than the sum of its proper divisors (8870624692800).

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

2861548560000 is an frugal number, since it uses more digits than its factorization.

2861548560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2861548560000 in words is "two trillion, eight hundred sixty-one billion, five hundred forty-eight million, five hundred sixty thousand".