31378292661760 has 640 divisors, whose sum is σ = 89259928141824. Its totient is φ = 10449581506560.

The previous prime is 31378292661733. The next prime is 31378292661767. The reversal of 31378292661760 is 6716629287313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×31378292661760² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31378292661767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5702031169 + ... + 5702036671.

Almost surely, 2^{31378292661760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31378292661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44629964070912).

31378292661760 is an abundant number, since it is smaller than the sum of its proper divisors (57881635480064).

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

31378292661760 is a wasteful number, since it uses less digits than its factorization.

31378292661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 31378292661760 in words is "thirty-one trillion, three hundred seventy-eight billion, two hundred ninety-two million, six hundred sixty-one thousand, seven hundred sixty".