2121060536400 has 240 divisors, whose sum is σ = 7318504571840. Its totient is φ = 522008064000.

The previous prime is 2121060536393. The next prime is 2121060536431. The reversal of 2121060536400 is 46350601212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114947175 + ... + 114965625.

Almost surely, 2^{2121060536400} is an apocalyptic number.

2121060536400 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 2121060536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659252285920).

2121060536400 is an abundant number, since it is smaller than the sum of its proper divisors (5197444035440).

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

2121060536400 is a wasteful number, since it uses less digits than its factorization.

2121060536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25854 (or 25843 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 2121060536400 in words is "two trillion, one hundred twenty-one billion, sixty million, five hundred thirty-six thousand, four hundred".