87362625252000 has 2304 divisors, whose sum is σ = 368478657211392. Its totient is φ = 17660569190400.

The previous prime is 87362625251953. The next prime is 87362625252031. The reversal of 87362625252000 is 25252626378.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 70624595382 + ... + 70624596618.

It is an arithmetic number, because the mean of its divisors is an integer number (159929972748).

Almost surely, 2^{87362625252000} is an apocalyptic number.

87362625252000 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 87362625252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184239328605696).

87362625252000 is an abundant number, since it is smaller than the sum of its proper divisors (281116031959392).

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

87362625252000 is a wasteful number, since it uses less digits than its factorization.

87362625252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

Adding to 87362625252000 its reverse (25252626378), we get a palindrome (87387877878378).

The spelling of 87362625252000 in words is "eighty-seven trillion, three hundred sixty-two billion, six hundred twenty-five million, two hundred fifty-two thousand".