10361595552000 has 1152 divisors, whose sum is σ = 43004213231616. Its totient is φ = 2148249600000.

The previous prime is 10361595551903. The next prime is 10361595552001. The reversal of 10361595552000 is 25559516301.

It is a super-3 number, since 3×10361595552000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10361595552001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3999070705 + ... + 3999073295.

It is an arithmetic number, because the mean of its divisors is an integer number (37330046208).

Almost surely, 2^{10361595552000} is an apocalyptic number.

10361595552000 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 10361595552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502106615808).

10361595552000 is an abundant number, since it is smaller than the sum of its proper divisors (32642617679616).

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

10361595552000 is a wasteful number, since it uses less digits than its factorization.

10361595552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 42.

The spelling of 10361595552000 in words is "ten trillion, three hundred sixty-one billion, five hundred ninety-five million, five hundred fifty-two thousand".