90485977962240 has 1296 divisors, whose sum is σ = 387698839976448. Its totient is φ = 19782974103552.

The previous prime is 90485977962239. The next prime is 90485977962301. The reversal of 90485977962240 is 4226977958409.

90485977962240 is a `hidden beast` number, since 9 + 0 + 4 + 8 + 597 + 7 + 9 + 6 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1352057419 + ... + 1352124341.

It is an arithmetic number, because the mean of its divisors is an integer number (299150339488).

Almost surely, 2^{90485977962240} is an apocalyptic number.

90485977962240 is a gapful number since it is divisible by the number (90) 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 90485977962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193849419988224).

90485977962240 is an abundant number, since it is smaller than the sum of its proper divisors (297212862014208).

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

90485977962240 is an frugal number, since it uses more digits than its factorization.

90485977962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66998 (or 66963 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 90485977962240 in words is "ninety trillion, four hundred eighty-five billion, nine hundred seventy-seven million, nine hundred sixty-two thousand, two hundred forty".