787138560000 has 1500 divisors, whose sum is σ = 3207988780612. Its totient is φ = 191102976000.

The previous prime is 787138559971. The next prime is 787138560031. The reversal of 787138560000 is 65831787.

787138560000 is a `hidden beast` number, since 7 + 8 + 7 + 1 + 38 + 5 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 699484667904 + 87653892096 = 836352^2 + 296064^2 .

It is a tau number, because it is divible by the number of its divisors (1500).

It is a super-2 number, since 2×787138560000² (a number of 25 digits) contains 22 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 99 ways as a sum of consecutive naturals, for example, 10782719964 + ... + 10782720036.

Almost surely, 2^787138560000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 787138560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603994390306).

787138560000 is an abundant number, since it is smaller than the sum of its proper divisors (2420850220612).

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

787138560000 is an frugal number, since it uses more digits than its factorization.

787138560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 787138560000 in words is "seven hundred eighty-seven billion, one hundred thirty-eight million, five hundred sixty thousand".