53623126992000 has 512 divisors, whose sum is σ = 186160089024000. Its totient is φ = 13628327116800.

The previous prime is 53623126991969. The next prime is 53623126992007. The reversal of 53623126992000 is 29962132635.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (53623126992007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305720326 + ... + 305895674.

It is an arithmetic number, because the mean of its divisors is an integer number (363593923875).

Almost surely, 2^{53623126992000} is an apocalyptic number.

53623126992000 is a gapful number since it is divisible by the number (50) 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 53623126992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93080044512000).

53623126992000 is an abundant number, since it is smaller than the sum of its proper divisors (132536962032000).

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

53623126992000 is a wasteful number, since it uses less digits than its factorization.

53623126992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175681 (or 175659 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 53623126992000 in words is "fifty-three trillion, six hundred twenty-three billion, one hundred twenty-six million, nine hundred ninety-two thousand".