8535757136400 has 1920 divisors, whose sum is σ = 35784109670400. Its totient is φ = 1913717145600.

The previous prime is 8535757136353. The next prime is 8535757136407. The reversal of 8535757136400 is 46317575358.

8535757136400 is a `hidden beast` number, since 8 + 5 + 3 + 5 + 7 + 571 + 3 + 64 + 0 + 0 = 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 (8535757136407) 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, 19268074579 + ... + 19268075021.

It is an arithmetic number, because the mean of its divisors is an integer number (18637557120).

Almost surely, 2^{8535757136400} is an apocalyptic number.

8535757136400 is a gapful number since it is divisible by the number (80) 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 8535757136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17892054835200).

8535757136400 is an abundant number, since it is smaller than the sum of its proper divisors (27248352534000).

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

8535757136400 is a wasteful number, since it uses less digits than its factorization.

8535757136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 8535757136400 in words is "eight trillion, five hundred thirty-five billion, seven hundred fifty-seven million, one hundred thirty-six thousand, four hundred".