10359498240000 has 3640 divisors, whose sum is σ = 48553197278432. Its totient is φ = 2149908480000.

The previous prime is 10359498239999. The next prime is 10359498240017. The reversal of 10359498240000 is 4289495301.

10359498240000 is a `hidden beast` number, since 10 + 3 + 594 + 9 + 8 + 2 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3640).

It is a super-3 number, since 3×10359498240000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 169827839970 + ... + 169827840030.

Almost surely, 2^{10359498240000} is an apocalyptic number.

10359498240000 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 10359498240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24276598639216).

10359498240000 is an abundant number, since it is smaller than the sum of its proper divisors (38193699038432).

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

10359498240000 is an frugal number, since it uses more digits than its factorization.

10359498240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10359498240000 in words is "ten trillion, three hundred fifty-nine billion, four hundred ninety-eight million, two hundred forty thousand".