10269992678400 has 4224 divisors, whose sum is σ = 50216519270400. Its totient is φ = 1997026099200.

The previous prime is 10269992678399. The next prime is 10269992678437. The reversal of 10269992678400 is 487629996201.

10269992678400 is a `hidden beast` number, since 10 + 2 + 69 + 9 + 92 + 6 + 78 + 400 = 666.

It is a super-2 number, since 2×10269992678400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44847129486 + ... + 44847129714.

Almost surely, 2^{10269992678400} is an apocalyptic number.

10269992678400 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 10269992678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25108259635200).

10269992678400 is an abundant number, since it is smaller than the sum of its proper divisors (39946526592000).

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

10269992678400 is a wasteful number, since it uses less digits than its factorization.

10269992678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 10269992678400 in words is "ten trillion, two hundred sixty-nine billion, nine hundred ninety-two million, six hundred seventy-eight thousand, four hundred".