2121176552400 has 360 divisors, whose sum is σ = 7415531375616. Its totient is φ = 561475353600.

The previous prime is 2121176552381. The next prime is 2121176552483. The reversal of 2121176552400 is 42556711212.

2121176552400 is a `hidden beast` number, since 2 + 12 + 117 + 6 + 5 + 524 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 345859734 + ... + 345865866.

Almost surely, 2^{2121176552400} is an apocalyptic number.

2121176552400 is a gapful number since it is divisible by the number (20) 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 2121176552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707765687808).

2121176552400 is an abundant number, since it is smaller than the sum of its proper divisors (5294354823216).

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

2121176552400 is a wasteful number, since it uses less digits than its factorization.

2121176552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 2121176552400 in words is "two trillion, one hundred twenty-one billion, one hundred seventy-six million, five hundred fifty-two thousand, four hundred".