5105475901620 has 1152 divisors, whose sum is σ = 18630076416000. Its totient is φ = 1155844546560.

The previous prime is 5105475901607. The next prime is 5105475901627. The reversal of 5105475901620 is 261095745015.

It is a happy number.

5105475901620 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 47 + 590 + 16 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105475901627) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6158595366 + ... + 6158596194.

Almost surely, 2^{5105475901620} 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 5105475901620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9315038208000).

5105475901620 is an abundant number, since it is smaller than the sum of its proper divisors (13524600514380).

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

5105475901620 is a wasteful number, since it uses less digits than its factorization.

5105475901620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 5105475901620 in words is "five trillion, one hundred five billion, four hundred seventy-five million, nine hundred one thousand, six hundred twenty".