1050517868400 has 3360 divisors, whose sum is σ = 5251528880640. Its totient is φ = 194835456000.

The previous prime is 1050517868399. The next prime is 1050517868567. The reversal of 1050517868400 is 48687150501.

1050517868400 is a `hidden beast` number, since 1 + 0 + 50 + 517 + 8 + 6 + 84 + 0 + 0 = 666.

It is a super-2 number, since 2×1050517868400² (a number of 25 digits) contains 22 as substring.

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 671 ways as a sum of consecutive naturals, for example, 17221604370 + ... + 17221604430.

It is an arithmetic number, because the mean of its divisors is an integer number (1562955024).

Almost surely, 2^{1050517868400} is an apocalyptic number.

1050517868400 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 1050517868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625764440320).

1050517868400 is an abundant number, since it is smaller than the sum of its proper divisors (4201011012240).

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

1050517868400 is a wasteful number, since it uses less digits than its factorization.

1050517868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 1050517868400 in words is "one trillion, fifty billion, five hundred seventeen million, eight hundred sixty-eight thousand, four hundred".