10860083942400 has 2640 divisors, whose sum is σ = 53098925058432. Its totient is φ = 2123366400000.

The previous prime is 10860083942363. The next prime is 10860083942419. The reversal of 10860083942400 is 424938006801.

It is a happy number.

10860083942400 is a `hidden beast` number, since 1 + 0 + 8 + 600 + 8 + 39 + 4 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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 239 ways as a sum of consecutive naturals, for example, 2714340400 + ... + 2714344400.

Almost surely, 2^{10860083942400} is an apocalyptic number.

10860083942400 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 10860083942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26549462529216).

10860083942400 is an abundant number, since it is smaller than the sum of its proper divisors (42238841116032).

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

10860083942400 is a wasteful number, since it uses less digits than its factorization.

10860083942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10860083942400 in words is "ten trillion, eight hundred sixty billion, eighty-three million, nine hundred forty-two thousand, four hundred".