801102274560 has 336 divisors, whose sum is σ = 3173707420416. Its totient is φ = 183108501504.

The previous prime is 801102274549. The next prime is 801102274591. The reversal of 801102274560 is 65472201108.

801102274560 is a `hidden beast` number, since 8 + 0 + 1 + 1 + 0 + 22 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2425257 + ... + 2735703.

Almost surely, 2^801102274560 is an apocalyptic number.

801102274560 is a gapful number since it is divisible by the number (80) 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 801102274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586853710208).

801102274560 is an abundant number, since it is smaller than the sum of its proper divisors (2372605145856).

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

801102274560 is a wasteful number, since it uses less digits than its factorization.

801102274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310491 (or 310464 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 801102274560 its reverse (65472201108), we get a palindrome (866574475668).

The spelling of 801102274560 in words is "eight hundred one billion, one hundred two million, two hundred seventy-four thousand, five hundred sixty".