31795719480 has 1024 divisors, whose sum is σ = 139968000000. Its totient is φ = 6242697216.

The previous prime is 31795719469. The next prime is 31795719481. The reversal of 31795719480 is 8491759713.

It is a happy number.

31795719480 is a `hidden beast` number, since 3 + 1 + 7 + 95 + 71 + 9 + 480 = 666.

It is a super-3 number, since 3×31795719480³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31795719481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 70814296 + ... + 70814744.

It is an arithmetic number, because the mean of its divisors is an integer number (136687500).

Almost surely, 2^31795719480 is an apocalyptic number.

31795719480 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 31795719480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69984000000).

31795719480 is an abundant number, since it is smaller than the sum of its proper divisors (108172280520).

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

31795719480 is a wasteful number, since it uses less digits than its factorization.

31795719480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 31795719480 in words is "thirty-one billion, seven hundred ninety-five million, seven hundred nineteen thousand, four hundred eighty".