248953933837760 has 896 divisors, whose sum is σ = 689144597222400. Its totient is φ = 85059226828800.

The previous prime is 248953933837753. The next prime is 248953933837793. The reversal of 248953933837760 is 67738339359842.

It is a super-2 number, since 2×248953933837760² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155499020960 + ... + 155499022560.

Almost surely, 2^{248953933837760} is an apocalyptic number.

248953933837760 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 248953933837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344572298611200).

248953933837760 is an abundant number, since it is smaller than the sum of its proper divisors (440190663384640).

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

248953933837760 is a wasteful number, since it uses less digits than its factorization.

248953933837760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 77.

The spelling of 248953933837760 in words is "two hundred forty-eight trillion, nine hundred fifty-three billion, nine hundred thirty-three million, eight hundred thirty-seven thousand, seven hundred sixty".