10061611499520 has 1536 divisors, whose sum is σ = 41953808332800. Its totient is φ = 2265716883456.

The previous prime is 10061611499519. The next prime is 10061611499549. The reversal of 10061611499520 is 2599411616001.

10061611499520 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 6 + 114 + 9 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 95 ways as a sum of consecutive naturals, for example, 22016655132 + ... + 22016655588.

It is an arithmetic number, because the mean of its divisors is an integer number (27313677300).

Almost surely, 2^{10061611499520} is an apocalyptic number.

10061611499520 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 10061611499520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20976904166400).

10061611499520 is an abundant number, since it is smaller than the sum of its proper divisors (31892196833280).

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

10061611499520 is an frugal number, since it uses more digits than its factorization.

10061611499520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 10061611499520 in words is "ten trillion, sixty-one billion, six hundred eleven million, four hundred ninety-nine thousand, five hundred twenty".