5103811952640 has 576 divisors, whose sum is σ = 18246159429120. Its totient is φ = 1353575301120.

The previous prime is 5103811952597. The next prime is 5103811952651. The reversal of 5103811952640 is 462591183015.

It is a happy number.

5103811952640 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 8 + 119 + 526 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3733585237 + ... + 3733586603.

It is an arithmetic number, because the mean of its divisors is an integer number (31677360120).

Almost surely, 2^{5103811952640} 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 5103811952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123079714560).

5103811952640 is an abundant number, since it is smaller than the sum of its proper divisors (13142347476480).

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

5103811952640 is an equidigital number, since it uses as much as digits as its factorization.

5103811952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 5103811952640 in words is "five trillion, one hundred three billion, eight hundred eleven million, nine hundred fifty-two thousand, six hundred forty".