2136915950400 has 3024 divisors, whose sum is σ = 10181202944640. Its totient is φ = 439723468800.

The previous prime is 2136915950371. The next prime is 2136915950423. The reversal of 2136915950400 is 40595196312.

2136915950400 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 91 + 59 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 431 ways as a sum of consecutive naturals, for example, 20746756749 + ... + 20746756851.

Almost surely, 2^{2136915950400} is an apocalyptic number.

2136915950400 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 2136915950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090601472320).

2136915950400 is an abundant number, since it is smaller than the sum of its proper divisors (8044286994240).

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

2136915950400 is a wasteful number, since it uses less digits than its factorization.

2136915950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 2136915950400 in words is "two trillion, one hundred thirty-six billion, nine hundred fifteen million, nine hundred fifty thousand, four hundred".