2156635062400 has 384 divisors, whose sum is σ = 6622011164160. Its totient is φ = 675772416000.

The previous prime is 2156635062331. The next prime is 2156635062433. The reversal of 2156635062400 is 42605366512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29374537 + ... + 29447863.

It is an arithmetic number, because the mean of its divisors is an integer number (17244820740).

Almost surely, 2^{2156635062400} is an apocalyptic number.

2156635062400 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 2156635062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311005582080).

2156635062400 is an abundant number, since it is smaller than the sum of its proper divisors (4465376101760).

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

2156635062400 is a wasteful number, since it uses less digits than its factorization.

2156635062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73472 (or 73455 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 2156635062400 in words is "two trillion, one hundred fifty-six billion, six hundred thirty-five million, sixty-two thousand, four hundred".