288971504640 has 2640 divisors, whose sum is σ = 1392436869120. Its totient is φ = 55897620480.

The previous prime is 288971504629. The next prime is 288971504677. The reversal of 288971504640 is 46405179882.

It is a happy number.

288971504640 is a `hidden beast` number, since 2 + 8 + 8 + 9 + 71 + 504 + 64 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 9321661425 + ... + 9321661455.

It is an arithmetic number, because the mean of its divisors is an integer number (527438208).

Almost surely, 2^288971504640 is an apocalyptic number.

288971504640 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 288971504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696218434560).

288971504640 is an abundant number, since it is smaller than the sum of its proper divisors (1103465364480).

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

288971504640 is a wasteful number, since it uses less digits than its factorization.

288971504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 288971504640 in words is "two hundred eighty-eight billion, nine hundred seventy-one million, five hundred four thousand, six hundred forty".