920061521400960 has 1024 divisors, whose sum is σ = 3511070281728000. Its totient is φ = 227037026304000.

The previous prime is 920061521400883. The next prime is 920061521401019. The reversal of 920061521400960 is 69004125160029.

920061521400960 is a `hidden beast` number, since 9 + 2 + 0 + 0 + 6 + 152 + 1 + 400 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43602734410 + ... + 43602755510.

It is an arithmetic number, because the mean of its divisors is an integer number (3428779572000).

Almost surely, 2^{920061521400960} is an apocalyptic number.

920061521400960 is a gapful number since it is divisible by the number (90) 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 920061521400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755535140864000).

920061521400960 is an abundant number, since it is smaller than the sum of its proper divisors (2591008760327040).

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

920061521400960 is a wasteful number, since it uses less digits than its factorization.

920061521400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24722 (or 24704 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

Adding to 920061521400960 its reverse (69004125160029), we get a palindrome (989065646560989).

The spelling of 920061521400960 in words is "nine hundred twenty trillion, sixty-one billion, five hundred twenty-one million, four hundred thousand, nine hundred sixty".