10757011523940 has 1536 divisors, whose sum is σ = 41498763264000. Its totient is φ = 2282486169600.

The previous prime is 10757011523939. The next prime is 10757011523963. The reversal of 10757011523940 is 4932511075701.

10757011523940 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 70 + 11 + 523 + 9 + 40 = 666.

10757011523940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10757011523940² (a number of 27 digits) contains 22 as substring.

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 511 ways as a sum of consecutive naturals, for example, 9841730034 + ... + 9841731126.

It is an arithmetic number, because the mean of its divisors is an integer number (27017424000).

Almost surely, 2^{10757011523940} is an apocalyptic number.

10757011523940 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 10757011523940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20749381632000).

10757011523940 is an abundant number, since it is smaller than the sum of its proper divisors (30741751740060).

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

10757011523940 is a wasteful number, since it uses less digits than its factorization.

10757011523940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 10757011523940 in words is "ten trillion, seven hundred fifty-seven billion, eleven million, five hundred twenty-three thousand, nine hundred forty".