10757587595040 has 1152 divisors, whose sum is σ = 43847272594944. Its totient is φ = 2367332352000.

The previous prime is 10757587594979. The next prime is 10757587595047. The reversal of 10757587595040 is 4059578575701.

It is a happy number.

10757587595040 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 7 + 58 + 75 + 9 + 504 + 0 = 666.

10757587595040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10757587595047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8143517580 + ... + 8143518900.

It is an arithmetic number, because the mean of its divisors is an integer number (38061868572).

Almost surely, 2^{10757587595040} is an apocalyptic number.

10757587595040 is a gapful number since it is divisible by the number (10) 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 10757587595040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21923636297472).

10757587595040 is an abundant number, since it is smaller than the sum of its proper divisors (33089684999904).

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

10757587595040 is a wasteful number, since it uses less digits than its factorization.

10757587595040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 61740000, while the sum is 63.

The spelling of 10757587595040 in words is "ten trillion, seven hundred fifty-seven billion, five hundred eighty-seven million, five hundred ninety-five thousand, forty".