21546525539760 has 640 divisors, whose sum is σ = 75668223590400. Its totient is φ = 5035264819200.

The previous prime is 21546525539687. The next prime is 21546525539761. The reversal of 21546525539760 is 6793552564512.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 21546525539694 and 21546525539703.

It is not an unprimeable number, because it can be changed into a prime (21546525539761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2342263641 + ... + 2342272839.

It is an arithmetic number, because the mean of its divisors is an integer number (118231599360).

Almost surely, 2^{21546525539760} is an apocalyptic number.

21546525539760 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 21546525539760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37834111795200).

21546525539760 is an abundant number, since it is smaller than the sum of its proper divisors (54121698050640).

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

21546525539760 is a wasteful number, since it uses less digits than its factorization.

21546525539760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9717 (or 9711 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 60.

The spelling of 21546525539760 in words is "twenty-one trillion, five hundred forty-six billion, five hundred twenty-five million, five hundred thirty-nine thousand, seven hundred sixty".