653254250880 has 1024 divisors, whose sum is σ = 2794475427840. Its totient is φ = 125632512000.

The previous prime is 653254250851. The next prime is 653254250903. The reversal of 653254250880 is 88052452356.

It is a super-2 number, since 2×653254250880² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 153307950 + ... + 153312210.

It is an arithmetic number, because the mean of its divisors is an integer number (2728979910).

Almost surely, 2^653254250880 is an apocalyptic number.

653254250880 is a gapful number since it is divisible by the number (60) 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 653254250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397237713920).

653254250880 is an abundant number, since it is smaller than the sum of its proper divisors (2141221176960).

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

653254250880 is a wasteful number, since it uses less digits than its factorization.

653254250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 653254250880 in words is "six hundred fifty-three billion, two hundred fifty-four million, two hundred fifty thousand, eight hundred eighty".