472759073831088 has 360 divisors, whose sum is σ = 1460052839700000. Its totient is φ = 142692135505920.

The previous prime is 472759073831081. The next prime is 472759073831137. The reversal of 472759073831088 is 880138370957274.

472759073831088 is a `hidden beast` number, since 4 + 7 + 2 + 75 + 90 + 7 + 383 + 10 + 88 = 666.

It is a super-2 number, since 2×472759073831088² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) 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 (72).

It is not an unprimeable number, because it can be changed into a prime (472759073831081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23430582856 + ... + 23430603032.

It is an arithmetic number, because the mean of its divisors is an integer number (4055702332500).

Almost surely, 2^{472759073831088} is an apocalyptic number.

472759073831088 is a gapful number since it is divisible by the number (48) 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 472759073831088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730026419850000).

472759073831088 is an abundant number, since it is smaller than the sum of its proper divisors (987293765868912).

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

472759073831088 is a wasteful number, since it uses less digits than its factorization.

472759073831088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25481 (or 25461 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 472759073831088 in words is "four hundred seventy-two trillion, seven hundred fifty-nine billion, seventy-three million, eight hundred thirty-one thousand, eighty-eight".