87537006400 has 168 divisors, whose sum is σ = 232014150144. Its totient is φ = 32411596800.

The previous prime is 87537006367. The next prime is 87537006449. The reversal of 87537006400 is 460073578.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1102434 + ... + 1179166.

It is an arithmetic number, because the mean of its divisors is an integer number (1381036608).

Almost surely, 2^87537006400 is an apocalyptic number.

87537006400 is a gapful number since it is divisible by the number (80) 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 87537006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116007075072).

87537006400 is an abundant number, since it is smaller than the sum of its proper divisors (144477143744).

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

87537006400 is a wasteful number, since it uses less digits than its factorization.

87537006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76809 (or 76794 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

Adding to 87537006400 its reverse (460073578), we get a palindrome (87997079978).

The spelling of 87537006400 in words is "eighty-seven billion, five hundred thirty-seven million, six thousand, four hundred".