5413059353088 has 1120 divisors, whose sum is σ = 18548584243200. Its totient is φ = 1567139954688.

The previous prime is 5413059353083. The next prime is 5413059353131. The reversal of 5413059353088 is 8803539503145.

5413059353088 is a `hidden beast` number, since 5 + 4 + 13 + 0 + 5 + 93 + 530 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5413059353083) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4232258433 + ... + 4232259711.

Almost surely, 2^{5413059353088} is an apocalyptic number.

5413059353088 is a gapful number since it is divisible by the number (58) 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 5413059353088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9274292121600).

5413059353088 is an abundant number, since it is smaller than the sum of its proper divisors (13135524890112).

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

5413059353088 is a wasteful number, since it uses less digits than its factorization.

5413059353088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5413059353088 in words is "five trillion, four hundred thirteen billion, fifty-nine million, three hundred fifty-three thousand, eighty-eight".