10751261400 has 216 divisors, whose sum is σ = 39687915540. Its totient is φ = 2606313600.

The previous prime is 10751261393. The next prime is 10751261401. The reversal of 10751261400 is 416215701.

It is a happy number.

10751261400 is a `hidden beast` number, since 1 + 0 + 7 + 512 + 6 + 140 + 0 = 666.

It is a super-2 number, since 2×10751261400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10751261401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 193119 + ... + 242481.

Almost surely, 2^10751261400 is an apocalyptic number.

10751261400 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 10751261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843957770).

10751261400 is an abundant number, since it is smaller than the sum of its proper divisors (28936654140).

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

10751261400 is a wasteful number, since it uses less digits than its factorization.

10751261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49407 (or 49384 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10751261400 in words is "ten billion, seven hundred fifty-one million, two hundred sixty-one thousand, four hundred".