10757355840 has 672 divisors, whose sum is σ = 46559784960. Its totient is φ = 2214604800.

The previous prime is 10757355821. The next prime is 10757355859. The reversal of 10757355840 is 4855375701.

It is a happy number.

10757355840 is a `hidden beast` number, since 1 + 0 + 7 + 57 + 3 + 558 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10757355821) and next prime (10757355859).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 39694905 + ... + 39695175.

Almost surely, 2^10757355840 is an apocalyptic number.

10757355840 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 10757355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279892480).

10757355840 is an abundant number, since it is smaller than the sum of its proper divisors (35802429120).

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

10757355840 is a wasteful number, since it uses less digits than its factorization.

10757355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 10757355840 in words is "ten billion, seven hundred fifty-seven million, three hundred fifty-five thousand, eight hundred forty".