31523248080 has 480 divisors, whose sum is σ = 114333872640. Its totient is φ = 7759825920.

The previous prime is 31523248007. The next prime is 31523248109. The reversal of 31523248080 is 8084232513.

31523248080 is a `hidden beast` number, since 31 + 523 + 24 + 8 + 0 + 80 = 666.

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

It is a congruent number.

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, 149399175 + ... + 149399385.

It is an arithmetic number, because the mean of its divisors is an integer number (238195568).

Almost surely, 2^31523248080 is an apocalyptic number.

31523248080 is a gapful number since it is divisible by the number (30) 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 31523248080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57166936320).

31523248080 is an abundant number, since it is smaller than the sum of its proper divisors (82810624560).

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

31523248080 is a wasteful number, since it uses less digits than its factorization.

31523248080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 31523248080 in words is "thirty-one billion, five hundred twenty-three million, two hundred forty-eight thousand, eighty".