10386670694400 has 4368 divisors, whose sum is σ = 52221108468480. Its totient is φ = 1977915801600.

The previous prime is 10386670694363. The next prime is 10386670694471. The reversal of 10386670694400 is 449607668301.

10386670694400 is a `hidden beast` number, since 1 + 0 + 3 + 86 + 6 + 70 + 6 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4368).

It is a super-3 number, since 3×10386670694400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 74724249531 + ... + 74724249669.

Almost surely, 2^{10386670694400} is an apocalyptic number.

10386670694400 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 10386670694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26110554234240).

10386670694400 is an abundant number, since it is smaller than the sum of its proper divisors (41834437774080).

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

10386670694400 is a wasteful number, since it uses less digits than its factorization.

10386670694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 10386670694400 in words is "ten trillion, three hundred eighty-six billion, six hundred seventy million, six hundred ninety-four thousand, four hundred".