10756401600 has 1008 divisors, whose sum is σ = 45240854400. Its totient is φ = 2221793280.

The previous prime is 10756401589. The next prime is 10756401641. The reversal of 10756401600 is 610465701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129595159 + ... + 129595241.

It is an arithmetic number, because the mean of its divisors is an integer number (44881800).

Almost surely, 2^10756401600 is an apocalyptic number.

10756401600 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 10756401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22620427200).

10756401600 is an abundant number, since it is smaller than the sum of its proper divisors (34484452800).

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

10756401600 is a wasteful number, since it uses less digits than its factorization.

10756401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10756401600 in words is "ten billion, seven hundred fifty-six million, four hundred one thousand, six hundred".