5201553403890 has 320 divisors, whose sum is σ = 14451158937600. Its totient is φ = 1341669764736.

The previous prime is 5201553403867. The next prime is 5201553403903. The reversal of 5201553403890 is 983043551025.

5201553403890 is a `hidden beast` number, since 5 + 2 + 0 + 1 + 553 + 4 + 0 + 3 + 8 + 90 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2319015109 + ... + 2319017351.

It is an arithmetic number, because the mean of its divisors is an integer number (45159871680).

Almost surely, 2^{5201553403890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5201553403890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225579468800).

5201553403890 is an abundant number, since it is smaller than the sum of its proper divisors (9249605533710).

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

5201553403890 is a wasteful number, since it uses less digits than its factorization.

5201553403890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 5201553403890 in words is "five trillion, two hundred one billion, five hundred fifty-three million, four hundred three thousand, eight hundred ninety".