21054135032400 has 120 divisors (see below), whose sum is σ = 68715929979360. Its totient is φ = 5508503237120.

The previous prime is 21054135032363. The next prime is 21054135032401. The reversal of 21054135032400 is 423053145012.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21054135032401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165456330 + ... + 165583529.

It is an arithmetic number, because the mean of its divisors is an integer number (572632749828).

Almost surely, 2^{21054135032400} is an apocalyptic number.

21054135032400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21054135032400 is an abundant number, since it is smaller than the sum of its proper divisors (47661794946960).

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

21054135032400 is a wasteful number, since it uses less digits than its factorization.

21054135032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331039933 (or 331039922 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 21054135032400 its reverse (423053145012), we get a palindrome (21477188177412).

The spelling of 21054135032400 in words is "twenty-one trillion, fifty-four billion, one hundred thirty-five million, thirty-two thousand, four hundred".