5457838599936 has 864 divisors, whose sum is σ = 18106587652608. Its totient is φ = 1630904647680.

The previous prime is 5457838599911. The next prime is 5457838599973. The reversal of 5457838599936 is 6399958387545.

It is a happy number.

5457838599936 is a `hidden beast` number, since 5 + 4 + 578 + 3 + 8 + 5 + 9 + 9 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11115760651 + ... + 11115761141.

It is an arithmetic number, because the mean of its divisors is an integer number (20956698672).

Almost surely, 2^{5457838599936} 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 5457838599936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9053293826304).

5457838599936 is an abundant number, since it is smaller than the sum of its proper divisors (12648749052672).

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

5457838599936 is a wasteful number, since it uses less digits than its factorization.

5457838599936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 993 counting only the distinct ones).

The product of its digits is 8817984000, while the sum is 81.

The spelling of 5457838599936 in words is "five trillion, four hundred fifty-seven billion, eight hundred thirty-eight million, five hundred ninety-nine thousand, nine hundred thirty-six".