255103553100000 has 1152 divisors, whose sum is σ = 926917633474560. Its totient is φ = 60911136000000.

The previous prime is 255103553099999. The next prime is 255103553100013. The reversal of 255103553100000 is 1355301552.

It is a super-2 number, since 2×255103553100000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136346099065 + ... + 136346100935.

It is an arithmetic number, because the mean of its divisors is an integer number (804616001280).

Almost surely, 2^{255103553100000} is an apocalyptic number.

255103553100000 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 255103553100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463458816737280).

255103553100000 is an abundant number, since it is smaller than the sum of its proper divisors (671814080374560).

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

255103553100000 is a wasteful number, since it uses less digits than its factorization.

255103553100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 255103553100000 in words is "two hundred fifty-five trillion, one hundred three billion, five hundred fifty-three million, one hundred thousand".