172861378560 has 832 divisors, whose sum is σ = 670430073600. Its totient is φ = 42000187392.

The previous prime is 172861378541. The next prime is 172861378577. The reversal of 172861378560 is 65873168271.

It is a happy number.

172861378560 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 6 + 1 + 3 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 172861378497 and 172861378506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999198634 + ... + 999198806.

Almost surely, 2^172861378560 is an apocalyptic number.

172861378560 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 172861378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335215036800).

172861378560 is an abundant number, since it is smaller than the sum of its proper divisors (497568695040).

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

172861378560 is a wasteful number, since it uses less digits than its factorization.

172861378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 172861378560 in words is "one hundred seventy-two billion, eight hundred sixty-one million, three hundred seventy-eight thousand, five hundred sixty".