10135730550000 has 960 divisors, whose sum is σ = 38131279441920. Its totient is φ = 2295552000000.

The previous prime is 10135730549977. The next prime is 10135730550037. The reversal of 10135730550000 is 5503753101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10135730550000.

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, 1483346584 + ... + 1483353416.

It is an arithmetic number, because the mean of its divisors is an integer number (39720082752).

Almost surely, 2^{10135730550000} is an apocalyptic number.

10135730550000 is a gapful number since it is divisible by the number (10) 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 10135730550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19065639720960).

10135730550000 is an abundant number, since it is smaller than the sum of its proper divisors (27995548891920).

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

10135730550000 is a wasteful number, since it uses less digits than its factorization.

10135730550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 7875, while the sum is 30.

The spelling of 10135730550000 in words is "ten trillion, one hundred thirty-five billion, seven hundred thirty million, five hundred fifty thousand".