10846911398400 has 2400 divisors, whose sum is σ = 52692818872320. Its totient is φ = 2134978560000.

The previous prime is 10846911398387. The next prime is 10846911398429. The reversal of 10846911398400 is 489311964801.

10846911398400 is a `hidden beast` number, since 1 + 0 + 8 + 469 + 1 + 139 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

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 239 ways as a sum of consecutive naturals, for example, 1516834825 + ... + 1516841975.

Almost surely, 2^{10846911398400} is an apocalyptic number.

10846911398400 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 10846911398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26346409436160).

10846911398400 is an abundant number, since it is smaller than the sum of its proper divisors (41845907473920).

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

10846911398400 is a wasteful number, since it uses less digits than its factorization.

10846911398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 10846911398400 in words is "ten trillion, eight hundred forty-six billion, nine hundred eleven million, three hundred ninety-eight thousand, four hundred".