10786207406400 has 1008 divisors, whose sum is σ = 41173304739840. Its totient is φ = 2774439475200.

The previous prime is 10786207406371. The next prime is 10786207406411. The reversal of 10786207406400 is 460470268701.

10786207406400 is a `hidden beast` number, since 10 + 7 + 8 + 620 + 7 + 4 + 0 + 6 + 4 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 4182320311 + ... + 4182322889.

It is an arithmetic number, because the mean of its divisors is an integer number (40846532480).

Almost surely, 2^{10786207406400} is an apocalyptic number.

10786207406400 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 10786207406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20586652369920).

10786207406400 is an abundant number, since it is smaller than the sum of its proper divisors (30387097333440).

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

10786207406400 is a wasteful number, since it uses less digits than its factorization.

10786207406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10786207406400 in words is "ten trillion, seven hundred eighty-six billion, two hundred seven million, four hundred six thousand, four hundred".