2136118101600 has 288 divisors, whose sum is σ = 7949219717376. Its totient is φ = 488079820800.

The previous prime is 2136118101571. The next prime is 2136118101659. The reversal of 2136118101600 is 61018116312.

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 47 ways as a sum of consecutive naturals, for example, 49891402 + ... + 49934198.

It is an arithmetic number, because the mean of its divisors is an integer number (27601457352).

Almost surely, 2^{2136118101600} is an apocalyptic number.

2136118101600 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 2136118101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974609858688).

2136118101600 is an abundant number, since it is smaller than the sum of its proper divisors (5813101615776).

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

2136118101600 is a wasteful number, since it uses less digits than its factorization.

2136118101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45798 (or 45785 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 2136118101600 in words is "two trillion, one hundred thirty-six billion, one hundred eighteen million, one hundred one thousand, six hundred".