20078121392640 has 960 divisors, whose sum is σ = 73330588970496. Its totient is φ = 5067268816896.

The previous prime is 20078121392599. The next prime is 20078121392653. The reversal of 20078121392640 is 4629312187002.

20078121392640 is a `hidden beast` number, since 200 + 7 + 8 + 12 + 1 + 392 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 31032644797 + ... + 31032645443.

Almost surely, 2^{20078121392640} is an apocalyptic number.

20078121392640 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 20078121392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36665294485248).

20078121392640 is an abundant number, since it is smaller than the sum of its proper divisors (53252467577856).

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

20078121392640 is a wasteful number, since it uses less digits than its factorization.

20078121392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20078121392640 in words is "twenty trillion, seventy-eight billion, one hundred twenty-one million, three hundred ninety-two thousand, six hundred forty".