2178557811360 has 576 divisors, whose sum is σ = 9035831750400. Its totient is φ = 466880495616.

The previous prime is 2178557811349. The next prime is 2178557811377. The reversal of 2178557811360 is 631187558712.

2178557811360 is a `hidden beast` number, since 2 + 1 + 7 + 8 + 5 + 578 + 1 + 1 + 3 + 60 = 666.

It is a super-2 number, since 2×2178557811360² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2178557811297 and 2178557811306.

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, 18518806 + ... + 18636074.

It is an arithmetic number, because the mean of its divisors is an integer number (15687207900).

Almost surely, 2^{2178557811360} is an apocalyptic number.

2178557811360 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 2178557811360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517915875200).

2178557811360 is an abundant number, since it is smaller than the sum of its proper divisors (6857273939040).

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

2178557811360 is a wasteful number, since it uses less digits than its factorization.

2178557811360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117413 (or 117402 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 2178557811360 in words is "two trillion, one hundred seventy-eight billion, five hundred fifty-seven million, eight hundred eleven thousand, three hundred sixty".